#Emile Borel

[dawnslight-aegis]

the kids and godkids, pt 4

Liliane Ysayle de Borel

Aliases/Titles: Lili, Lady Speaker, Viscountess of House Borel

Combat training: Rapier, thaumaturgy, conjury (RDM)

Elemental affinity: Ice

Personality: Bossy, a bit spoiled, stubborn to a fault, idealistic, driven, intelligent, diplomatic, cunning

Childhood: Very uneventful if you don���t count the assassination attempt, adored by both her parents. Began growing apart from her mother as a preteen, due to her resentment over Kaede’s occasional absences for Warrior of Light business/adventuring, which reached an all-time low during her teenage years/while Emil was gone. Academically brilliant but ran off a few different tutors due to her stubborn personality (and also because she was smarter than them). Trained in fencing and red magic by her mother and Alisaie Leveilleur.

Adulthood: Awakened as a young adult to a weaker form of the Echo that mostly manifests as very good intuition. Began playing the political game very early, establishing herself in the social elite. A fixture at any party or gala of any importance. Ends up marrying a son of the Haillenarte family, keeps her last name but takes the d’Haillenarte rose in Borel blue for her personal sigil and earns herself the nickname of the “Blue Rose” as a nod to the unnatural nature of her bloodline. Also keeps a midlander manservant/retainer as her lover, about which there is a great deal of speculation/rumor/scandal. Half of Ishgard adores her, and the other half is terrified of her. Inherits Aymeric’s title and his seat in the House of Lords once he feels like she’s ready, proceeds to work her way up to Lady Speaker and attempt to drag the city into modernity by any means necessary.

Interests: Politics, history, magic, fencing, dragons, dancing, fashion

Relationships under the cut

 Aymeric: Her second favorite person on the planet, has had him wrapped very firmly around her pinky finger since the day she was born. Her idol and role model. Considers it her duty to follow in his footsteps/finish what he started re: the modernization of Ishgard. Often pestered him to take her to work with him, has sat in on House of Lords sessions since she was five.

 Kaede: Often do not get along, due to similar personalities and extreme stubbornness. Kaede tends to be a bit harsh on her, and Lili is not super impressed by her mom’s adventurer past/absences during her childhood. They love each other very much, though, and get along much better once they can treat each other as equals.

 Emilien: Her very favorite person on the whole planet. Bosses him around a fair amount, but knows when to stop. The person she goes to when she feels threatened.

 Marz: Loves to pick Marz’s brain about all sorts of things, like plants and cooking. Thinks she gives the best hugs. Marz enjoys her sass and spirit.

 Estinien: Has absolutely made Estinien jump out of a window a time or two due to general bossiness/attitude. She reminds him way too much of Aymeric sometimes. She loves him but thinks he’s a bit of a grump.

 Jorani: Desperately wants to impress her. Thinks she’s really cool and strong and beautiful, always kind of feels like a little kid around her and hates that.

 Hamignant: Her third favorite person on the planet. Makes sure to show him every single new thing she learns, spends a lot of time with him during group functions, one of the only people she is physically affectionate with.

 Others: Edmont’s favorite grandchild. The only person in her family who even halfway gets along with Kaede's biological father, Zamair. Adores Alphinaud, used to say she was going to marry him when she was very little. Considers Alisaie a mentor. Enjoys discussing books with Urianger. Has a special fascination for the life of Ysayle Dangoulain.

[cilginfizikcilervbi]

Sonsuz Maymun Teorimi

Sonsuz Maymun Teorimi 1900’lerin başında, Fransız matematikçi yeterince küçük bir olasılığa sahip olayların asla gerçekleşmeyeceğini düşünüyordu. İnsan ölçeğindeki olaylar için Borel, olasılığı 10-6‘dan (veya 0.0000001’den) daha az olan olayları imkansız olarak değerlendirdi. Ayrıca imkansızlığı göstermek için ünlü bir örnek buldu: Daktilo tuşlarına rastgele basan maymunlar… Evet, gelelim sonsuz…

[transcredwaters]

Lots and lots (and lots) of swap au doodles, mainly of Haurchefant, Ysayle and Estinien

(i also base the de Borel cat off my own kitty because they're both grouches. she's nice to me though)

[adreamerinthenight]

Emil Borel - Never seen Classics Trunks this small! The sheen and minimal coverage make them so Sexy!

[fursasaida]

i’m reading some of gisin’s papers on a non-deterministic classical mechanics and i: love this dude

Real Numbers are Not Really Real

The set of all real numbers is equivalent (isomorphic) to the set of real numbers within the unit interval. Hence, all relevant numbers can be written as in (1), with infinitely many bits 𝑏𝑗. This way of writing down real numbers already illustrates the fact that real numbers do, in general, contain an unlimited amount of (Shannon) information, i.e. infinitely many bits. The only exceptions are when the series of bits 𝑏𝑗 terminates, or more precisely when all bits after a finite coordinate m are nil: 𝑏𝑗=0 for all 𝑗>𝑚, or when after a finite position m the series of bits repeats itself forever, like, e.g., 0.0111011001010101010101010101…which continues with an endless repetition of the pattern 01, or more generally when there is a finite formula (algorithm) to compute all bits.

Another nice way to illustrate the infinite amount of information in typical real numbers is due to Emile Borel, as nicely told by Chaitin (2008). They emphasize that one single real number can contain the answers to all (binary) questions one can formulate in any human language. To see this it suffices to realize that there are only finitely many languages, each with finitely many symbols. Hence, one can binarize this list of symbols (as routinely done in today’s computers) and list all sequences of symbols, first the sequences containing only a single symbol, next those containing two symbols, and so on. This huge list of symbols can then be considered as the bits of a real number. Let’s leave 2 bits, 𝑏1𝑛𝑏2𝑛, in-between each sequence 𝑆𝑛 of symbols:

0.𝑆1𝑏11𝑏21𝑆2𝑏12𝑏22𝑆3𝑏13𝑏23…𝑆𝑛𝑏1𝑛𝑏2𝑛…                                

When the sequence 𝑆𝑛 of symbols doesn’t represent a binary question, we set these two bits to 0 (𝑏1𝑛𝑏2𝑛=00). When they represent a question whose answer is yes, we set these bits to 01 and if the answer is no we set them to 10. This procedure is not efficient at all, but who cares: since a real number has infinitely many bits, there is no need to save space! Hence, one can really code the answers to all possible (binary) questions in one single real number. This illustrates the absurdly unlimited amount of information that real numbers contain. Real numbers are monsters!

like not just what he’s saying (which is very sensible) but the way he conveys it. conversational! fun! he’s not even being dramatic and trying to pass it off as a politics (coughs @ a lot of critical science studies) when he says “real numbers are monsters.” he’s just being like, “hey have you noticed? that this is very weird actually?? come with me on a journey!!”

[starswornoaths]

Prompt 16: Lucubration

Moen. Why did you give me this troll ass word. Why did this word, of all of them, give me Immense Emotions.

Have an Academic AU set 600 years after xiv. Do not perceive me.

To say that discovering what had happened to those closest to the Warrior of Light from the Seventh Astral Era, now some six hundred years past, was the culmination of Ciri’s life’s work was a gross overexaggeration, though it was the first project she had been approved for grant money to pursue out of graduate school. It was an interesting enough period in history that there was ample interest in the nitty gritty of it, though the obtuse nature of the way that era was chronicled had made it an intimidating one to approach.

Ciri didn’t know the concept of being intimidated by academic research, however, and had leapt into it headlong, eager to know what had become of the historic figures that had risen up in the wake of the Serella Arcbane of legend.

It had been fairly easy to reverse engineer her path of adventuring, and from there, Ciri had managed to discover so much more than she had thought she could in some case, in others, almost nothing. Which had ultimately led her travels to Ishgard, tucked away in one of the recently restored Scholasticate libraries, pouring over tomes and records by low lamplight to help with her migraine.

It was late enough that everyone else in the building had long since gone home, save for the janitorial staff. It was a common enough occurrence that Ciri made it a habit of buying the lot of them takeout while she was there. Half as a bribe to not kick her out, but mostly so she could continue her work unburdened with the worry that they hadn’t eaten enough in the day. 

There were reasons she was their favorite academic.

“Still here?” A dulcet voice asked from the doorway to the archives.

Emil. She didn’t even have to look up to know. She would know him anywhere.

“As ever.” She called back. “What on earth are you still doing here?”

“You should know me better than that by now.” With the echoing clack of his footsteps approaching her, she was spared being startled when he set a thermos on the table for her. “I couldn’t well enough just abandon my partner in crime.”

She spared him a plain look from over the tome she had been pouring over.

“You just don’t like going through that one street alone, do you?”

“Have you seen the way those dancers leer at me?” He gave an exaggerated shudder. “I can’t tell whether they’re trying to lure me in to seduce me or put me to work.”

“The woes of bountiful beauty.” Ciri sighed, and snapped the book she had been reading shut.

She tossed it to the side of her in half disgust, along with the veritable mountain of other tomes that had proven to be just as uninformative.

“You would know far more than I.” He cooed around a saccharine smile, preening at the way she flushed at the compliment.

“You do this on purpose, I swear it.” She grumbled goodnaturedly.

Though Emile laughed, his eyes scanned the discarded tomes, pursing his lips. “Still having trouble finding him, then?”

“Technically.” She heaved a sigh, her back thumping against her chair as she took a moment to pout in a manner most unbecoming an academic. “I keep running into dead ends. He was a goddamn world leader, how does history lose someone like that?!”

There yet remained one final piece of the mystery she needed before her work was done. She could not leave it to be lost to the annals of history for no other reason than her lack of due diligence, that was for damn certain.

“Quite easily, I assure you.” He replied, and finally held up a bag of takeout he had brought up with him and set it on the table. “Take a break with me, rest your eyes.”

He set out a variety of containers, each more fragrant and savory than the last. Betraying her own neglect, Ciri’s stomach growled loud enough that he paused in divvying up food to arch a brow at her.

“When did you last eat?”

“...Monday…?” She said hesitantly once she had ticked back the hours. 

It was only Tuesday, right? That wasn’t so bad.

“Cirilla Anne Dubois! It’s Wednesday!” Sparing a glance at his watch, he grimaced and amended, “Thursday, by now! Eat!”

He set a large soup container in front of her to punctuate his command, and the scent of beef broth filled her senses. She had to swallow heavily from how her mouth watered.

“Udon…?” She asked hopefully.

“Of course. And a shared order of tempura.” He promised, laying out another container between them.

A ritual for them, to share meal and knowledge alike. Something that had carried over from their days in uni, and even before then. She had been glad for Emil’s constant, comforting presence throughout their travels and research. They could be doing nothing but laughing over a silly video on his tomephone, and sharing bits of food, and still, she would be the happiest woman in the world.

Emil somehow seemed to always know when she needed a break. The food had been exactly what she had needed, she realized the moment that the first bite had settled on her tongue. He had even brewed her tea, she realized when she popped the thermos open and sniffed at the delicate complex and slightly sweet aroma. 

Truly, these were the moments that made her work worthwhile.

“Review with me, like we always do. Something to break up the lucubration by lamplight, if you will.” Emil brought her back, the bright amber of his eyes comforting in the low lamplight. After he chewed around a mouthful of curry and rice, he continued, gesturing with his chopsticks. “Tell me of the other Alliance leaders, and how their stories ended.”

“But you know. You’ve been with me every step of this research trip.” Ciri whined after a long dreg of her tea.

“Sure, but isn’t it important to look again? To make sure you didn’t miss anything?” He encouraged. 

He had a point, even if Ciri didn’t want to admit it.

“Where to start…” She tapped her fingers on the table. “Lyse Hext and Hien Rijin formed a bridge between the Doman and Eorzean Alliances when they were wed, paved the way for current world politics in that regard, though they ultimately focused on adopting refugee children and rebuilding Doma and Ala Mhigo respectively. Admiral Merlwyb Bloefhiswyn adamantly refused to retire until she had found a suitable replacement.”

“Only for her First to ultimately convince her to do so that she might marry the love of her life.” Emil supplied, food all but abandoned to focus his attention solely on her.

“Y’Shtola Rhule, of all people.” Ciri snorted. ““The only woman to keep me honest. I would have no other.” It was so recorded she had said in her wedding vows.”

“Good for them.” He nodded.

“Raubahn Aldynn eventually retired from his position as General of the Ala Mhigan army, and had lived a content life as a hobbyist carpenter and full time grandfather to his son’s children.” She paused to chew on a mouthful of noodles. “For the life of me, I couldn’t confirm who Pipin Tarupin had settled down with, though there is some suggestion that it was eventually Nanamo Ul Namo, having all but disappeared upon successfully dissolving the sultanate of Ul’Dah.”

“It’d be a neat end to several loose threads.” Emil shrugged a shoulder. “Can’t blame popular theory for running with it.”

“I just hate that I don’t know— and I’d asked Kan-E-Senna in that interview, too, lest you wonder.”

Kan-E-Senna didn’t count as a reliable source of information on the whole, the crone. Eternally youthful and blessed by the Twelveswood, Ciri had squared her away with a simple interview. The Elder Seedeer had been a bit of a dead end for damn near everything but Merlwyb and Y’Shtola’s wedding, citing that she had simply not been very close with anyone else, preferring the company of the wood itself.

Ciri still couldn’t tell whether that was the truth, or she was just being an obtuse old bat having a laugh at a young academic’s expense.

“Dead ends, all, for what on earth happened to the last of them.”

She blew a curly bang out of her face with a frustrated huff. Infuriatingly, it sprang right back to where it had hung in her eyes. With an agitated grunt, she sat up and gathered all of her hair to hold back with a head scarf. Plucking a zucchini tempura piece from its container and popping it in her mouth, she went back to the tome she was pouring over when Emil arrived and flipped to the page she had been on. 

“I’ve solved what happened to all the rest. But what happened to him?” She hissed almost under her breath, the blunt end of her pen tapping against a specific portrait of a historic figure depicted in the text.

Inky hair swept over bright eyes, a young man barely in his thirties draped in gilded armor and blue finery. Lord Commander of the Temple Knights of Ishgard during and after the Dragonsong War. Speculated beloved of the Warrior of Light. Aymeric de Borel. 

“I can’t figure out what happened to him after he retired.” Ciri frowned at the portrait of the handsome man. “He was barely thirty-seven, and was in good health, by all accounts. The Borel Manor is still in the family name, even centuries down the line, though none of them are of blood relatives.” She tapped her pen to her bottom lip in thought. “Family trees confirm he adopted his children, though he himself was also an adopted kid, so the Borel bloodline had already died out before he had even retired, in a manner of speaking.”

“But when did he adopt them? Did he have a spouse? And why— and how— in the ever loving fuck did he just vanish from all record?!”

“You keep thinking of him as a historical figure.” Emil noted patiently, setting down his chopsticks and reaching across the table to gently hold her hand. “Think of him as a person. What, considering all of the other people in Ell— the Warrior of Light’s life chose for themselves, what would you think he would want, above all else?”

“...You know something I don’t.” Ciri accused after a moment of scrutiny, eyes narrowing in suspicion.

“A rarity, but just this once, yes.” He nodded. “Though for disclosure: I only came about the knowledge tonight.”

“Why not tell me sooner?”

“I wanted you to eat, my dear.”

There was something that struck her as deeply familiar about this moment. The dark brown of his skin was stark against the rolled up sleeves of his pale blue shirt, and yes, he was distractingly handsome all the time, and yes, they had always shared food and conversation before, but this…

Ciri had never been to Ishgard before her academic research. Not once. And yet, it felt as though she had been here, with him, having this conversation before.

It might have been a trick of the light, but for a moment, his eyes were a peculiar kyanite blue.

Odd.

“Have you been down to the Vault’s archives?” At her nod, he smiled wider and pushed away from his seat, hand held out in offering. “Come, let me show you something you might have overlooked.”

“Bold of you to imply I’m not thorough in my work, Emil.” She pursed her lips, even as she accepted.

“I would never— I only mean that you didn’t know to look for this.”

His smile widened when she placed her hand in his. As if she would ever refuse him. As if she ever could.

The toe of her boot caught on the ankle of her opposite foot when she made to stand— ah, new boots, damn it all— and she braced for a fall. Emil, always happy to help, had easily braced and caught her before she had truly fallen, and helped right her on her own feet. 

“Falling for me at last, my dear?” He asked with a dazzling smile.

“Fuck’s sakes, you know I fluster easily.” Ciri sputtered around her blushing, though she did use the excuse of wobbly legs to press close to him for a moment. 

Ahh, they never did talk about what they were after that one college party…

“Come on, I promise it isn’t long— and we’ll be back to finish our food, lest you worry.” 

Hand in hand, Ciri and Emil made their way down, down, down the winding steps of the Congregation, deeper and deeper still into the Vault, past the chapel, beyond the stained glass windows, until they were again wrapped in nothing but lamplight. 

How was this so familiar? How did this feel like they had done this before?

“You’re being silly!” The low alto voice of a woman rang in her mind. Ciri almost tripped on the steps.

“And dramatic, lest you forget, but pray allow me this.” She would have almost swore it was Emil that had spoken, had the dialect not been so old. 

What was happening to her? What was in that Udon?

The Archivist waved them through with barely a glance at their badges— they had become familiar faces at that point— and popped a grape in his mouth distractedly, eyes never leaving the book in his hand. With a word of thanks, they continued on their way.

It was in the darkest corner of the archives, one of the last bookshelves, where Emil finally came to a stop. The hand not holding hers thumbed through the volumes until he found an unmarked tome of deepest black and pulled it from the shelf.

“Look at this.” He said quietly.

Ciri studied the cover a moment with trembling fingers. Unable to contain that strange ache in her chest, that sense of longing and...fear? Bracing herself she opened the book.

It was such a worn thing, it practically fell open all its own. She nearly dropped the thing for how her hands trembled. A thoughtful frown marred her face as she read the title, written in neat penmanship. 

“The Last Will and Testament of Aymeric de Borel?” Ciri whispered. “But...I don’t understand—”

“Read it.” Emil whispered, close enough she could feel his warmth, a welcome, gentle hand at the small of her back. “You will, I promise you.”

Its first entry was, perhaps, its most telling. The last piece of the puzzle. The end of her journey— and the beginning of something so much more personal, as she recalled a life she never lived.

"Today I am married to the love of my life. Today, Aymeric de Borel dies. In his place, Aymeric Arcbane will find a thousand different happily ever afters, both here and on the road, as long as her hand is in mine."

In different handwriting, a cheeky remark of, “A bit of a dramatic exit, given we’re only going on an adventure, but it’ll do.”

“He found them.” Emil said softly. When she looked up at him, his bright eyes bore into hers. “Every one of those happily ever afters. He found them all, every time, with her. This was all he ever wanted.”

Ciri remembered being a full fulm taller, broader in shoulder, lighter in skin that was heavy with scars, and having two different eye colors. She remembered feeling her shoulders pulled down with a weight she herself couldn’t fathom. She remembered fighting, over and over and over again.

For him. For his smile.

Her eyes swimming with tears, Ciri gently closed the book, and with the hand not cradling such a precious treasure to her chest, she reached out to him.

Of course she had already loved him. She always had. Of course he had loved her in kind. He had never stopped.

“That’s alright, then.” She said.

They left the Vault together again, for the first time in six hundred years, laughing just as brightly as they had before.

[jbgravereaux]

LE MOUVEMENT BROWNIEN ET SON HISTOIRE, RÉPONSES À QUELQUES QUESTIONS par Jean-Pierre Kahane                                                                                                                                                                                            D’abord, qu’appelle-t-on mouvement brownien ?                                                                                                                                                                              Deux choses : un phénomène naturel, et un objet mathématique.                                                                                                                                                      De quoi s’agit-il ?                                                                                                                                                                                                                                    Le phénomène naturel est le mouvement désordonné de particules en suspension dans un liquide. Il a été observé dès le 18ème siècle, sinon avant.                                                                                                                              L’objet mathématique est un processus gaussien dont la variance des accroissements est égale au temps écoulé. Norbert Wiener, qui l’a défini en 1923, l’appelait « the fundamental random function. »                                                                                                                                                                      Quel rapport entre les deux ?                                                                                                                                                                                                              C’est toute une histoire, dans laquelle les physiciens jouent un rôle majeur.                                                                                                                                  Certains, au 19ème siècle, avaient pressenti que le mouvement des particules pouvait tenir à l’agitation moléculaire. Mais le grand départ est venu en 1905 avec Einstein. A l’origine, Einstein voulait tester la théorie cinétique moléculaire de la chaleur dans les liquides. Cela l’a mené à une formule qui permettait, à partir de l’observation du mouvement brownien, de calculer le nombre d’Avogadro.                                                                                                                                                                                                                                          Jean Perrin a réalisé ce programme, et achevé ainsi d’établir la réalité des atomes ; il faut lire le grand classique qui en est résulté, Les Atomes (1912). Les observations de Jean Perrin ont inspiré Norbert Wiener. Dès ses premiers mots sur le mouvement brownien, Wiener cite un article de Perrin de 1909, qui évoque à ce sujet les courbes sans tangente des mathématiciens. Et Wiener se propose en effet de bâtir un modèle dans lequel les trajectoires sont continues, avec une vitesse infinie en tout point.                                                                                                                                                                                                D’où vient l’appellation de « mouvement brownien » ?                                                                                                                                                                        De Richard Brown, un grand botaniste écossais du début du 19 ème siècle, qui s’intéressait à l’action du pollen dans la reproduction des plantes. Il a été amené, comme d’autres, à observer le mouvement irrégulier et incessant de particules de pollen en suspension dans l’eau. A priori, il s’agissait là d’un phénomène vital. Cependant les expériences que Brown a su monter avec des particules inorganiques montrent que c’est faux. L’apport du biologiste a été de sortir le phénomène de la biologie.                                                                                                                                                                                                      Mais, dans un autre sens, l’appellation vient de Paul Lévy. Ce sont les écrits de Paul Lévy qui ont fixé l’usage de nommer« mouvement brownien » le processus de Wiener.                                                                                                                                                                                                                                            L’histoire parait donc simple. Jusqu’à Brown, le phénomène est du ressort de l’histoire naturelle. Avec Einstein et Perrin, il est l’objet d’une théorie physique et il donne lieu à des expériences de physique. Avec Wiener et Lévy, il est défini mathématiquement et son étude mathématique commence. Est-ce bien cela ?                                                                                                                                  Oui et non. Si l’on ne retient comme origine du mouvement brownien des mathématiciens que le mouvement de particules de pollen en suspension dans l’eau, il est exact que Brown, Einstein, Perrin, Wiener et Lévy représentent les maillons essentiels de la chaîne qui va de la botanique à la mathématique en passant par la physique. Mais il y a bien d’autres maillons dans la chaîne, et surtout d’autres sources et d’autres liens dans l’histoire du mouvement brownien.                                                                                                                                                                                                                                      D’autres sources et d’autres liens ? Lesquels ?                                                                                                                                                                                      On ne va pas pouvoir tout détailler, parce que le mouvement brownien occupe aujourd’hui une place centrale en mathématiques et qu’il est lié à la plupart de leurs branches : les équations d’évolution, l’analyse de Fourier, la théorie du potentiel, la théorie des fonctions d’une variable complexe, la géométrie et la théorie des groupes, l’analyse numérique, ... A ces liens correspondent d’autres sources historiques, parmi lesquelles trois me semblent devoir être signalées en priorité.                                                                                                                                                                                                                                                  1. L’équation de la chaleur (Fourier 1808) et sa diffusion ; la mise en évidence par Louis Bachelier dans sa thèse (1900) du processus de fluctuation des cours en Bourse et le fait que sa probabilité p(x,t)dx que ce processus se trouve entre x et x+dx au temps t obéit à l’équation de la chaleur (Bachelier parle du « rayonnement » de cette probabilité) ; c’est la source historique du lien entre mouvement brownien et mathématiques financières.                                                                                                                                                                            2. Les promenades au hasard, qui remontent au début du calcul des probabilités, avec l’image qu’en donne l’évolution de la fortune d’un joueur au jeu de pile ou face, puis, en 1905 de nouveau, les « random flights » de Pearson, qui sont des marches aléatoires isotropes dans le plan, et, en 1921, la première étude par Georges Polya des marches au hasard sur Z puissance d (récurrence ou transience, existence ou non de points multiples).                                                                                                                                                        3. Les séries de puissances et les séries trigonométriques à coefficients aléatoires, dont l’idée remonte à Emile Borel en 1896, mais qui n’ont pu faire l’objet d’études rigoureuses, à partir de 1920, que lorsque se sont formalisées les notions de probabilité et de propriétés presque sûres (Steinhaus ; Paley et Zygmund ; Paley, Wiener et Zygmund) ; c’est d’ailleurs en collaboration avec Paley et Zygmund, en 1932, que Wiener a achevé son programme en montrant que la non-dérivabilité en tout point de sa fonction aléatoire était presque sûre.                                                                                                                              Dans ces liens, il y a les retombées. Pouvez-vous en signaler quelques unes ?                                                                                                                                    Il y en a tant ... D’abord, en me bornant aux trois sources que je viens de signaler, voici quelques éléments :                                                                                                                                                                                                          1. La thèse de Louis Bachelier a été longtemps ignorée et elle est maintenant très populaire ; le mouvement brownien est l’outil de base des mathématiques financières.                                                                                                                                                                                                                                              2. Les promenades au hasard sur les groupes, les arbres, les graphes, les surfaces, sont de bons moyens pour explorer leur structure à l’infini.                                                                                                                                                  3. Wiener a proposé comme programme d’unifier la présentation des séries trigonométriques à coefficients aléatoires, dont fait partie la série de Fourier-Wiener qui représente le mouvement brownien, et ce programme a débouché sur une nouvelle théorie, les probabilités dans les espaces de Banach.                                                                                                                                                Par ailleurs, une retombée essentielle du processus de Wiener est l’axiomatique de Kolmogorov en 1933, qui ne se borne pas au classique (Ω,A,P), mais qui montre, exactement à la manière de Wiener, comment construire l’espace de probabilité à partir d’une famille (Ωc,Ac,Pc), adaptée au processus à probabiliser.                                                                                                                                                                                                                                            Il faudrait ensuite citer les équations différentielles stochastiques, l’intégrale d’Itô etc...                                                                                                                                                                                                                                                                                                                                                                              ...Ce qui est fascinant est la variété et la puissance des outils mis en œuvre dans cette étude, et l’appui que se prêtent mutuellement physiciens et mathématiciens.                                                                                                                                                                                                                                      Au moment d’écrire cet article, j’ai eu le bonheur d’entendre au séminaire Poincaré (le séminaire Bourbaki des physiciens) un exposé de Bertrand Duplantier sur le mouvement brownien. C’est à la fois une mise au point historique, avec toutes les références souhaitables, et un aperçu stimulant sur les recherches en cours. Oui, il reste encore bien des choses à trouver, et si vous voulez vous en convaincre, lisez Werner, lisez Duplantier.                                                                                                                                                    Références                                                                                                                                                                                                                                  Wendelin Werner, « Les chemins de l’aléatoire », Pour la Science n° 286 (août 2001), p. 68-74.                                                                                                                                                                                                                            Bertrand Duplantier, « Le mouvement brownien », Séminaire Poincaré 1 (avril 2005), p. 155-212.                                                                                                                                                                                            http://images.math.cnrs.fr/Le-mouvement-brownien-et-son.html

[pilferingapples]

Gautier, on Himself 7/?

(a translation by me of a mini-autobio from Theo Gautier in 1867, all from this text.Translation notes (SO MANY notes) and original French under the cut,suggestions and corrections SUPER WELCOME!)

Part 1 * Part 2 * Part 3 * Part 4 * Part 5 * Part 6

Previously: Gautier took up painting, only to find out he was too nearsighted to be an artist. Uh-oh. 

I was living with my parents at Place Royale, No. 8, in the corner of the row of arcades where the town hall was. If I note this detail, it is not to indicate in the future one of my homes. I am not one of those whose posterity will mark homes with a bust or a marble plaque.(1) But this circumstance greatly influenced the direction of my life. 

Victor Hugo, some time after the July Revolution, had come to live at the Place Royale, at No. 6, in the house in return for square. We could talk from one window to another. I had been introduced to Hugo, rue Jean-Goujon, by Gérard and Pétrus Borel, the lycanthrope. (2) God knows with what tremors and anxieties! I stayed more than an hour sitting on the steps of the stairs with my two mahouts,(3) begging them to wait until I was a little recovered. Hugo was then in all his glory and his triumph. Admitted to the romantic Jupiter, I did not even know how to say, like Henri Heine before Goethe: "The plums on the road to Jena in Weimar are good for thirst”. But the gods and kings do not disdain these frights of admiring shyness. They like that we faint before them. Hugo smiled and spoke to me encouragingly. 

 It was at the time of the rehearsals  of Hernani . Gerard and Petrus were turned my guarantors, and I received one of those red tickets marked with a brand of the proud Spanish motto hierro(iron). It was thought that the performance would be tumultuous, and enthusiastic young people were needed to support the play. The hatreds between classics and romantics were as lively as those of the Guelphs and Ghibellines(4), gluckistes and piccinistes (5). The success was as dazzling as a storm, with whistling winds, lightning, rain, and thunder. A whole room raised by the frenzied admiration of some and the obstinate anger of others! It was at this performance that I saw for the first time Madame Emile de Girardin, dressed in blue, her hair rolled in a long spiral of gold, as in the portrait by Hersent (6). She applauded the poet for his genius, and she was applauded for her beauty. From then on, I burned as the newly converted, and I was given the command of a small squad to whom I was distributing red tickets. 

It has been said and printed that at the battle of Hernani  I beat the recalcitrant bourgeois with my huge fists. It was not the desire to do so that I lacked, but the fists. I was scarcely eighteen, I was frail and delicate, and I took gloves in seven-and-a-quarter (7). I have since made all the great romantic campaigns. When we left the theater, we wrote on the walls: "Long live Victor Hugo! “ to spread his glory and irritate the Philistines. 

Never was God worshiped more fervently than Hugo. We were astonished to see him walking with us in the street like a mere mortal, and it seemed to us that he should have gone out through the city only on a triumphal chariot drawn by a quadriga(8) of white horses, with a winged Victory hanging a golden crown above his head. To tell the truth, I have hardly changed my mind, and my mature age approves the admiration of my youth. (9)

Je demeurais alors avec mes parents à la place Royale, no 8, dans l’angle de la rangée d’arcades où se trouvait la mairie. Si je note ce détail, ce n’est pas pour indiquer à l’avenir une de mes demeures. Je ne suis pas de ceux dont la postérité signalera les maisons avec un buste ou une plaque de marbre. Mais cette circonstance influa beaucoup sur la direction de ma vie. 

Victor Hugo quelque temps après la révolution de Juillet, était venu loger à la place Royale, au no 6, dans la maison en retour d’équerre. On pouvait se parler d’une fenêtre à l’autre. J’avais été présenté à Hugo, rue Jean-Goujon, par Gérard et Pétrus Borel, le lycanthrope. Dieu sait avec quels tremblements et quelles angoisses! Je restai plus d’une heure assis sur les marches de l’escalier avec mes deux cornacs, les priant d’attendre que je fusse un peu remis. Hugo était alors dans toute sa gloire et son triomphe. Admis devant le Jupiter romantique, je ne sus pas même dire, comme Henri Heine devant Goethe :  » Que les prunes étaient bonnes pour la soif sur le chemin d’Iéna à Weimar  » Mais les dieux et les rois ne dédaignent pas ces effarements de timidité admirative. Ils aiment assez qu’on s’évanouisse devant eux. Hugo daigna sourire et m’adresser quelques paroles encourageantes. 

C’était à l’époque des répétitions d’Hernani. Gérard et Pétrus se portèrent mes garants, et je reçus un de ces billets rouges marqués avec une griffe de la fière devise espagnole hierro (fer). On pensait que la représentation serait tumultueuse, et il fallait des jeunes gens enthousiastes pour soutenir la pièce. Les haines entre classiques et romantiques étaient aussi vives que celles des guelfes et de gibelins, des gluckistes et des piccinistes. Le succès fut éclatant comme un orage, avec sifflements des vents, éclairs, pluie et foudres. Toute une salle soulevée par l’admiration frénétique des uns et la colère opiniâtre des autres! Ce fut à cette représentation que je vis pour la première fois madame Émile de Girardin, vêtue de bleu, les cheveux roulés en longue spirale d’or comme dans le portrait d’Hersent. Elle applaudissait le poëte pour son génie, on l’applaudit pour sa beauté. À dater de là, je fus considéré comme un chaud néophyte, et j’obtins le commandement d’une petite escouade à qui je distribuais des billets rouges. On a dit et imprimé qu’aux batailles d’Hernani j’assommais les bourgeois récalcitrants avec mes poings énormes. Ce n’était pas l’envie qui me manquait, mais les poings. J’avais dix-huit ans à peine, j’étais frêle et délicat, et je gantais sept un quart. Je fis, depuis, toutes les grandes campagnes romantiques. Au sortir du théâtre, nous écrivions sur les murailles :  » Vive Victor Hugo!  » pour propager sa gloire et ennuyer les philistins. 

Jamais Dieu ne fut adoré avec plus de ferveur qu’Hugo. Nous étions étonnés de le voir marcher avec nous dans la rue comme un simple mortel, et il nous semblait qu’il n’eût dû sortir par la ville que sur un char triomphal traîné par un quadrige de chevaux blancs, avec une Victoire ailée suspendant une couronne d’or au-dessus de sa tête. À vrai dire, je n’ai guère changé d’idée, et mon âge mûr approuve l’admiration de ma jeunesse.

1- It’s kind of amazing how wrong Gautier was about his own cultural importance, even at this point. Not only did he get plaques and memorials, his old home is marked with kitty curtains, which probably would have pleased him more. 

2- Gerard and Petrus (the lycanthrope, because some things are Important XD) ! I’ve mentioned this in earlier segments, but Nerval and Borel were both dead and sliding out of public memory by this time. Borel, in particular, had become an embarrassing reminder to some people of the artistic excess and political ideals of an earlier time, and his name had, as Baudelaire said, become a sort of condemnation against anyone getting too outspoken or experimental in their art.  If Gerard was fading from memory, Petrus was being erased--both of them starting to be aggressively unmentioned or even cut out of accounts of the movement’s history, in favor of focusing on more famous and then-currently appealing figures. Gautier’s insistent remembrance of them both at this point is both accurate and something of a  statement of loyalty in a way I didn’t know when I started doing this kind of research, which is why I’m mentioning it here :P 

3- “mahouts”--an elephant driver. Romantic Orientalism ahoy, and also Gautier’s basically calling them his herders XD

4- Guelphs and Ghibellines- factions in 12th and 13th century Italy supporting the Pope vs The Holy Roman Emperor. 

5- gluckistes and piccinistes--an 18th century aesthetic argument between fans of French opera and fans of Italian opera.  

6-“the portrait by Hersent”-- that’s most likely Louis Hersent, an engraver and portraitist of the time, with a large portfolio of portraits of young wealthy women. There’s like... almost nothing easily findable on him in English, unforch. :/ 

7-”I took gloves in seven and a quarter”=“ et je gantais sept un quart “--  given the comment about lacking huge fists, I’m pretty sure this is Gautier saying he was wearing a very small or unimpressive glove size at the time, but since I have no idea what French glove sizing of the day was like, I don’t know exactly what he means. :[  

8-QUADRIGA, TAKE A SHOT XD

9-  Continuing to cheerlead for Gerard and Petrus was an act of friendly loyalty in a small subculture; continuing to sing the praises of Victor Hugo in a country where Hugo was a political exile who’d had to flee for his life was considerably more. In general, Gautier was fairly politic and got along with Napoleon III’s court-- but on the matter of Hugo he refused to ever perjure himself. Hugo Was The Greatest, and nothing would make him change his mind. It was considered to have cost him some significant career opportunities, at least,but as Maxime du Camp said, “Théophile Gautier was incapable of such a crime (as speaking against Hugo),  everything in him would have revolted against it, his Romanticist faith, his loyalty, his nature, even if the perspective of an official post were to be his.”

[tadorsa]

Genève, parc des Eaux-vives.
Centenaire de l'école Privat, 6 mai 1914.

Sont représentés: Paul Appia, André d'Arbigny, Abraham Aubert, Georges Audéoud, Edouard Audéoud, Jean Audéoud, Charles d'Auriol, Jean Bader, Edmond Barbey, Charles Barde, Edmond Barde, Edouard Barde, Monsieur Andreae, Maurice Battelli, André Boissier, Fernand Boissier, Jacques de Beaumont, Maurice Bedot, Gustave Boissier, Antoinette Boissonnas, Edmond Berchet, Bonna, Jean Billon, Edmond Binet, Edmond Bordier, Edouard Bordier, Guillaume Bordier, Jacques Bordier, Pierre Bordier, Jacques Borel, Marcel Bory, Louis Blondel, Raymond Burnat, Henri Chauvet, Jacques Chauvet, Casimir de Candolle, Chenevière, Jean-Louis Cayla, du pasteur Charles Cellérier, Fernand Chenevière, Albert Choisy, Eugène Choisy, Jean Choisy, Edouard Chapuisat, A. de Couries, Alec Cramer, Auguste Cramer, Marc Cramer, F. Delarue, Deriaz, Georges Dériaz, Fernand Dominicé, Frédéric Dominicé, Max Dominicé, Albert Du bois, Georges Duchêne, Dunant, Adolphe Dunant, Marcel Dubois, André Fatio, Pierre Favre, William Favre, Guy Durant, Maurice Duval, Raymond Duval, Ferrier, Henri d'Espine, Maurice d'Espine, Pierre Forget, Charles Freundler, André Firmenich, Frantz Fulpius, Furchsy, jean Gallopin, Raymond Gallopin, Eugène Gaulis, Louis Goudet, Jean Hilaire, John Gignoux, Jean de Haller, Siegfried Horneffer, Amé Pictet, Aymon Pictet, Charles Pictet, Walter Jeheber, Jules Johannot, Fernand Jordan, Michel Julliard, Jean Lander, L'Hardy, Jean Lullin, Edouard Lemke, Jean Lombard, Pierre Lombard, Gérard de Loriol, Ed. de Marignac, Ernest de Marignac, André Martin, Eric Martin, Léon Martin de Gustave Martin, Charles du Pan, Maunoir, Albert Maunoir, Henri Maunoir, Jacques Maunoir, John Maunoir, Jean-Louis Micheli, Alfred Mercier, Raoul? Montandon, Frédéric de Morsier, Gaston de Morsier, Georges de Morsier, Mottu, Gab. van Muyden, Ernest Muret, Harold Necker, du colonel Odier, Edmond Odier, Henry Odier, Jean Olivier, André Patry, Eugène Patry, Georges Patry, Henry Patry, Michel Patry, Raymond Patry, Roger Perrot, Philippe Privat, René Privat, Willy Privat, Roch, Maurice Roch, Alfred Privat, Edmond Privat, Emile Privat, Madame Emile Privat, née Luscher, Gaston Privat, Camille Rochette, Henri Reverdin, Isaac Reverdin, Horace Revilliod, Jean de Saussure, Arthur Sautter, Jean Sautter, Henri Sarasin, Paul-Emile Schazmann, Auguste Rilliet, Emile Thomas, Paul Tournier, Rivier, Raymond Rivier, Jean Trembley, Vallette, Arnold Vallette, Edmond Turrettini, René Turrettini, Veillon, Verdier, Vernet, Albert Vernet et de Westerweller. Photo: François Frédéric dit Fred Boissonnas

[dawnslight-aegis]

the kids and the godkids, pt 1

Emilien Haurchefant de Borel (nee Greystone)

Aliases/Titles: Emil, Lord Commander of the Temple Knights

Combat training: Single sword, greatsword (PLD/DRK)

Elemental affinity: Fire

Personality: Prickly, prone to impulsiveness/anger, deeply loyal and protective, kind, generous

Childhood: Born in the central highlands to an elezen mother who abandoned him and an unknown (but rumored hyur) father, lived in an orphanage until age 5 when he was adopted by Kaede and Aymeric. Struggled with adapting to nobility/his new life, coped much better once Liliane was born a year later, as it took some of the pressure off of him. An angry kid who was always ready to fight, especially if anyone insulted his family. Prevented an assassination attempt on his sister when he was ten, after which Kaede and Aymeric started officially training him.

Adulthood: Tired of the city’s politics (and the young women vying for his hand), left Ishgard for a few years as a young adult to do some traveling/adventuring, made a minor name for himself in the process. Came back and officially joined the Temple Knights, but doesn’t live in the city. Maintains a small home in the central highlands, which he eventually shares with Hamignant after they get married. (They have karakul.) Takes over command of the Temple Knights from Handeloup. Eventually inherits Naegling from Aymeric.

Interests: Swordplay/fighting, chocobos, military history, drinking, attractive men

Relationships under the cut

 Aymeric: Didn’t bond all that well the first couple years, sometimes thinks Aymeric is a little stuffy/too noble. Feels some shame for getting into trouble and “embarassing” his dad (his perception, not the truth). They get along extremely well once Emil grows up a little and realizes that Aymeric is more normal than he assumes.

 Kaede: Immediately imprinted on Kaede like a duckling, adores her. Helps that the orphanage used to tell bedtime stories about the Warrior of Light.

 Liliane: Can, would, probably has killed for her. The minute she was born he decided he was going to be the best goddamn big brother in the world, and honestly is. Her staunchest supporter, no matter what she does. Even if it’s illegal or ethically dubious.

 Marz: Loves her, but gets in trouble a lot more often after spending time with her (she’s an unintentionally terrible influence).

 Estinien: Minorly idolizes his uncle Estinien, thinks he’s really cool, they get along really well. Often goes to him with problems when he feels like Aymeric wouldn’t understand.

 Jorani: Friendly rival, favorite sparring partner, trusts her to have his back but also knows she would absolutely sabotage him with someone he was flirting with, just because she thought it was funny. Travel buddies on occasion.

 Hamignant: Best friend turned boyfriend, a calming influence, his port in the storm. Very much an opposites attract sort of situation. Had no idea that Hami's had a crush on his since they were little.

 Others: Also idolizes his aunt Lucia. Often pesters Thancred or Alisaie for cool stories. Gets along very well with his step-grandfather Roric, who offered to take him into his mercenary company. Spent a good bit of time training with Sidurgu and Rielle, as well, who he is very fond of.

[rodezaggloculture]

La place d’Armes

Depuis le XVIIIe siècle, la place d’Armes, « poumon économique, social et culturel » de Rodez a connu d’incessantes transformations :

 « (…) la nouvelle place qui a été tracée au devant de la Croix du Père Honoré, étant un grand ornement pour la ville et sa situation qui est à l’endroit où aboutissent tous les grands chemins donnant lieu de croire qu’on bâtira des maisons autour de cette place, il serait à souhaiter, pour la décoration de la ville, que les maisons fussent uniformes…»

Ainsi naissait sur proposition du conseil des deux communautés de Rodez, le 24 novembre 1747, la  place d’Armes, jadis vaste terrain vague, mais qui devenait désormais un espace à mettre en valeur, car à proximité du nouveau chemin royal venant d’Espalion.

Pour procéder au nivellement du lieu, on profita de la reconstruction de l’église Saint-Amans en obligeant « tous ceux qui viendraient dans ladite ville pour y vendre bois, charbon et autres marchandises avec bœufs et charrettes en s’en allant de porter dans ladite place une charrette de décombres de l’église…».

Bien après la Révolution, en 1845, le lieu ressemble encore à un « amas informe de pierres de toutes les façons sous lesquelles gémit la malheureuse place… » écrit un lecteur de l’Echo de l’Aveyron ; ce qui n’effraya nullement Michel-Prosper Biney, cuisinier originaire de Chartres et fondateur de l’hôtel du Midi, préambule d’une concentration de nombreux commerces à venir (café Riche, hôtel Le Broussy, café des Colonnes etc. ) et aussi siège de la première implantation de l’hôtel des Postes, à l’emplacement de la Trésorerie Générale aujourd’hui.

Vers 1848, M. Ferraguet, sous-ingénieur des Ponts et Chaussée et nouvellement chargé des travaux d’aménagement du lieu, eut l’idée de faire construire des murs en pierre de taille destinés à soutenir une grande terrasse surélevée, en forme de fer à cheval et se terminant en direction du Foirail par un escalier de vingt-cinq marches.

L’effet de cette lourde bâtisse déplut rapidement au Ruthénois qui la baptisèrent « Fort Ferraguet » !

La municipalité d’Adrien Rozier fit ensuite « table rase », préférant abaisser le niveau de la place de deux mètres pour glisser en pente douce vers le Foirail et créa un gracieux et élégant square où l’on inaugura en 1861, la statue colossale de Samson, œuvre du sculpteur Raymond Gayrard.

Mais en ces temps fort prudes, la nudité de l’œuvre souleva une vive opposition. Des pétitions de pères de famille scandalisés circulèrent en ville protestant contre cette indécente exhibition et concluant par ses mots «  qu’il se recouvre ou qu’il se cache ! »

Une feuille de vigne accrochée avec sagacité fit taire les récriminations.

La statue du Samson « debrogat » (débraillé) fut déplacée vers le foirail et la place devint alors un lieu de mémoire et de recueillement avec le monument aux morts de la Première Guerre Mondiale inaugurée le 28 juin 1925 par le ministre Emile Borel; l’emplacement au pied de la cathédrale, la couleur blanche des matériaux face au grès rose, et le choix du sculpteur Denys Puech suscitèrent encore la polémique, décuplée par la disparition des arbres, que la municipalité s’empressa de replanter :

« Un jour on plante des arbres, le lendemain on les arrache, on les replante à nouveau, de sorte qu’on se demande si ces ouvriers ne forment pas une équipe qui, au lieu de chercher à faire œuvre utile, serait simplement venue à cet endroit pour se livrer à une gymnastique plus ou moins suédoise » pouvait-on lire non sans humour, sur le Journal de l’Aveyron de l’époque.

Le développement de la circulation automobile entraîna l’élargissement des voies et le glissement d’usage progressif de la place d’Armes.

De square d’agrément, puis lieu de commémoration, elle devient un carrefour.

Dès 1929, un système de circulation giratoire est établi et des « agents aux bâtons blancs et au sifflet impérieux » veillent avec vigilance.

En 1974, à l’occasion de l’opération « ville moyenne », il fut décidé « de dégager complètement l’esplanade pour réhabiliter la silhouette de la cathédrale » en déplaçant notamment la Victoire du monuments aux Morts vers le square du Jardin du foirail, plus approprié pour les commémorations. S’en était fini du square et de ses arbres !

 En 2012, la place connaît une dernière transformation en parallèle du réaménagement de l’avenue Victor-Hugo et du foirail, où viennent s’établir le musée Soulages et le cinéma.

Des plantations d’alignements au nord et au sud de la place, doublés sur les trottoirs opposés, font alors leur apparition.

 Et demain, quel sera le nouveau visage de ce carrefour incontournable de la ville, déversant à flots continus un incessant ballet d’automobiles ? A suivre…

[transcredwaters]

Rumor says he didn't find out until Estinien called it out

[msxlabs-forum]

Émile Borel

Emile Borel (1871-1956)! *Fransız bir matematikçi* olan Borel, *'Matematik Düşüncede Büyük Akımlar'* adlı kitabında matematiği, 'Matematik, yine soyut biçimde tanımlanmış olan bazı *soyut varlıklar* arasındaki bağıntıları inceleyen bir bilimdir. Şöyle ki bu soyut biçimli tanımlar arasında hiçbir... https://www.msxlabs.org/forum/bilim-ww/61465-emile-borel.html

[joachimgliem]

ISUP from Joachim Gliem on Vimeo.

L'Institut de Statistique de l'Université de Paris (ISUP) est une formation pionnière dans le domaine de la statistique. Depuis sa création en 1922 par le mathématicien Emile Borel, l'institut a su s'adapter aux nombreuses évolutions de cette discipline. Aujourd'hui, les formations de l'ISUP, tournées vers l'analyse et l'exploitation des données, en font un acteur majeur de la formation aux technologies de la science des données et du Big Data.

[lets-daniel-gertsch-blog]

Well, Queen, we have studied 2WW maths, tog, so, well, better, there was Thabit (Syriac poly maths) and then Emile, no, Emile Borel, and no, Andreas Speiser, Swiss, he too, together, then what, David Hilbert, future, like a picture, like a city, enough, me, then what Hintikka, what, Abraham, you too M1 to M2 but, what we are again here Switzerland, Andreas Speiser, maths, Thabit...

[racingguimaraes]

WRC 2017 - 4ª PROVA

http://ift.tt/2prgjYu

WORLD RALLY CHAMPIONSHIP RESULTADOS

4ª PROVA - RALLY TOUR DE CORSE (FRANÇA) - 06-09 ABRIL 2017

P

Nº

PILOTO

CO-PILOTO

EQUIPA

CLASSE

TEMPO

PTS

1.

5

 T. NEUVILLE

 N. GILSOUL

Hyundai Motorsport

RC1

3:22:53.4

25+1

2.

1

 S. OGIER

 J. INGRASSIA

M-Sport World Rally Team

RC1

3:23:48.1

18+4

3.

6

 D. SORDO

 M. MARTI

Hyundai Motorsport

RC1

3:23:49.4

15+2

4.

10

 J. LATVALA

 M. ANTTILA

Toyota Gazoo Racing WRT

RC1

3:24:03.0

12+5

5.

8

 C. BREEN

 S. MARTIN

Citroën Total Abu Dhabi WRT

RC1

3:24:03.1

10+3

6.

4

 H. PADDON

 J. KENNARD

Hyundai Motorsport

RC1

3:25:09.7

8

7.

32

 A. MIKKELSEN

 A. JAEGER SYNNEVAAG

Skoda Motorsport

RC2

3:31:04.1

6

8.

34

 T. SUNINEN

 M. MARKKULA

M-Sport World Rally Team

RC2

3:32:10.4

4

9.

84

 S. SARRAZIN

 J. RENUCCI

Stephane Sarrazin

RC2

3:32:17.0

2

10.

44

 Y. ROSSEL

 B. FULCRAND

Yohan Rossel

RC2

3:35:50.5

1

11.

2

 O. TANAK

 M. JARVEOJA

M-Sport World Rally Team

RC1

3:38:13.7

-

12.

89

 J. TOEDTLI

 A. PAQUE

Jeremie Toedtli

RC2

3:38:43.4

-

13.

41

 S. TEMPESTINI

 G. BERNACCHINI

Gekon Racing

RC2

3:39:07.0

-

14.

38

 O. VEIBY

 S. SKJÆRMOEN

Printsport

RC2

3:39:31.2

-

15.

40

 P. LOUBET

 V. LANDAIS

Loubet Pierre-Louis

RC2

3:40:18.1

-

16.

33

 J. KOPECKY

 P. DRESLER

Skoda Motorsport

RC2

3:41:04.0

-

17.

85

 J. MANZAGOL

 E. PATRONE

Jean-Marc Manzagol

RC2

3:43:04.6

-

18.

21

 R. DUMAS

 P. CHIAPPE

Romain Dumas

RGT

3:45:49.7

-

19.

22

 F. DELECOUR

 D. SAVIGNONI

Francois Delecour

RGT

3:50:33.7

-

20.

88

 E. BOLAND

 M. J.

Eamonn Boland

RC2

3:51:38.5

-

21.

3

 E. EVANS

 D. BARRITT

M-Sport World Rally Team

RC1

3:51:45.7

-

22.

61

 R. ASTIER

 F. VAUCLARE

Raphael Astier

RC4

3:52:18.7

-

23.

101

 N. SOLANS

 M. IBANEZ

Nil Solans Baldo

RC4

3:53:44.4

-

24.

104

 N. CIAMIN

 T. DE LA HAYE

Nicolas Ciamin

RC4

3:54:27.9

-

25.

102

 T. FOLB

 C. GUIEU

Terry Folb

RC4

3:57:46.3

-

26.

127

 F. JOLY

 G. PERIER

Florent Joly

RC3

3:58:20.6

-

27.

82

 A. VAUTHIER

 S. NOLLET

Alain Vauthier

RC1

4:03:21.3

-

28.

31

 E. CAMILLI

 B. VEILLAS

M-Sport World Rally Team

RC2

4:03:37.4

-

29.

103

 J. TANNERT

 J. HEIGL

Adac Sachsen E.V.

RC4

4:03:38.5

-

30.

83

 M. ALBERTO

 S. MARIO

Marchetti Alberto

RC2

4:03:44.2

-

31.

81

 A. PEREIRA

 R. TUTELAIRE

Armando Pereira

RC1

4:04:29.6

-

32.

35

 E. BERGKVIST

 J. SJOBERG

Emil Bergkvist

RC2

4:04:48.4

-

33.

126

 E. FILIPPI

 F. MAZOTTI

Eric Filippi

RC3

4:05:59.1

-

34.

138

 C. CARDI

 Y. ROCHE

Cedric Cardi

RC4

4:06:00.0

-

35.

111

 D. RADSTROM

 J. JOHANSSON

Dennis Radstrom

RC4

4:08:25.9

-

36.

46

 L. PIENIAZEK

 P. MAZUR

Trt Peugeot World Rally Team

RC2

4:09:20.4

-

37.

134

 J. GUIBERT

 C. LABORDERIE

Jean-Christophe Guibert

RC4

4:12:10.3

-

38.

106

 R. DUGGAN

 G. CONWAY

Robert Duggan

RC4

4:12:25.6

-

39.

130

 P. TREVIS

 L. FREYSSENET

Philippe Trevis

RC3

4:12:40.1

-

40.

135

 F. FIORINI

 F. GIRARDI

Federico Fiorini

RC4

4:15:12.8

-

41.

139

 O. CAPANACCIA

 F. PIAZZA

Olivier Capanaccia

RC4

4:15:51.7

-

42.

112

 S. CAREAGA

 C. BUSTOS

Sebastian Careaga

RC4

4:18:25.5

-

43.

136

 F. PICCHIONI

 T. BOREL

Florian Picchioni

RC4

4:18:59.6

-

44.

109

 D. VAN WAY

 D. ROBERTS

Dillon Van Way

RC4

4:21:42.9

-

45.

137

 D. WHITE

 P. HALL

David White

RC4

4:24:14.9

-

46.

65

 J. BRZEZINSKI

 S. MARCINIAK

Go+Cars Atlas Ward

RC3

4:25:43.7

-

47.

108

 M. NIINEMAE

 M. VALTER

Cueks Racing

RC4

4:26:10.0

-

48.

123

 A. LAUZERTE

 P. GUERRIERI

Alain Lauzerte

NATR – R4

4:28:24.3

-

49.

125

 S. SCHWINN

 F. GRIEBEL

Sebastian Schwinn

RC2

4:30:03.6

-

50.

9

 S. LEFEBVRE

 G. MOREAU

Citroën Total Abu Dhabi WRT

RC1

4:34:50.7

-

51.

87

 G. FIORI

 J. TAVERA

Guy Fiori

RC2

4:35:09.2

-

52.

146

 V. RAYNAUD

 A. BOUDON

Vincent Raynaud

NATGT – GT9

4:43:29.1

-

53.

148

 P. MARCHAND

 I. BARBE

Patrick Marchand

NATN – FN2

4:43:39.3

-

54.

132

 M. BRANCA

 G. FORNS

Michel Branca

NATN – FN4

4:46:01.3

-

55.

147

 D. AITEUR

 R. BECCAVIN

Djamel Aiteur

NATF 2000

4:46:33.8

-

56.

145

 F. CERVETTI

 J. BONIFET

Francois Cervetti

NATN – FN3

4:48:27.6

-

57.

149

 J. VILLY

 R. VILLY

Jonathan Villy

NATN – N2

4:58:44.9

-

58.

142

 J. ANDRE

 L. BURZIO

Jean Philippe Andre

NATF 2000

5:07:04.8

-

CLASSIFICAÇÃO GERAL APÓS A 4ª PROVA

P

PILOTO

TOTAL

1.

 Sébastien OGIER

88

2.

 Jari-Matti LATVALA

75

3.

 Thierry NEUVILLE

54

4.

 Ott TANAK

48

5.

 Dani SORDO

47

6.

 Craig BREEN

33

7.

 Kris MEEKE

27

8.

 Hayden PADDON

25

9.

 Elfyn EVANS

20

10.

 Andreas MIKKELSEN

12

11.

 Stéphane LEFEBVRE

10

12.

 Juho HANNINEN

9

13.

 Teemu SUNINEN

5

14.

 Jan KOPECKY

4

15.

 Pontus TIDEMAND

3

16.

 Stephane SARRAZIN

2

17.

 Bryan BOUFFIER

1

18.

 Yohan ROSSEL

1

MUNDIAL DE EQUIPAS APÓS A 4ª PROVA

P

EQUIPAS

TOTAL

1.

M-Sport World Rally Team

129

2.

Hyundai Motorsport

105

3.

Toyota Gazoo Racing WRT

79

4.

Citroën Total Abu Dhabi WRT

71

via Blogger WRC