Werner, Wendelin 1968Overview
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Most widely held works about
Wendelin Werner
Most widely held works by
Wendelin Werner
Lectures on probability theory and statistics : Ecole d'Eté de Probabilités de SaintFlour XXXII2002
by Boris Tsirelson
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16 editions published in 2004 in English and held by 365 WorldCat member libraries worldwide This is yet another indispensable volume for all probabilists and collectors of the SaintFlour series, and is also of great interest for mathematical physicists. It contains two of the three lecture courses given at the 32nd Probability Summer School in SaintFlour (July 724, 2002). Boris Tsirelson's lectures introduce the notion of nonclassical noise produced by very nonlinear functions of many independent random variables, for instance singular stochastic flows or oriented percolation. Two examples are examined (noise made by a Poisson snake, the Brownian web). A new framework for the scaling limit is proposed, as well as old and new results about noises, stability, and spectral measures. Wendelin Werner's contribution gives a survey of results on conformal invariance, scaling limits and properties of some twodimensional random curves. It provides a definition and properties of the SchrammLoewner evolutions, computations (probabilities, critical exponents), the relation with critical exponents of planar Brownian motions, planar selfavoiding walks, critical percolation, looperased random walks and uniform spanning trees
Brownian motion
by Peter Mörters
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8 editions published between 2010 and 2012 in English and held by 247 WorldCat member libraries worldwide "This textbook offers a broad and deep exposition of Brownian motion. Extensively class tested, it leads the reader from the basics to the latest research in the area." "Starting with the construction of Brownian motion, the book then proceeds to sample path properties such as continuity and nowhere differentiability. Notions of fractal dimension are introduced early and are used throughout the book to describe fine properties of Brownian paths. The relation of Brownian motion and random walk is explored from several viewpoints, including a development of the theory of Brownian local times from random walk embeddings. Stochastic integration is introduced as a tool, and an accessible treatment of the potential theory of Brownian motion clears the path for an extensive treatment of intersections of Brownian paths. An investigation of exceptional points on the Brownian path and an appendix on SLE processes, by Oded Schramm and Wendelin Werner, lead directly to recent research themes."BOOK JACKET
Percolation et modèle d'Ising
by Wendelin Werner
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4 editions published in 2009 in French and held by 82 WorldCat member libraries worldwide
La passante du Sans souci
by Jacques Rouffio
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2 editions published between 1985 and 2000 in Undetermined and French and held by 41 WorldCat member libraries worldwide Human rights crusader Max Baumstein shoots the Paraguayan ambassador to Paris. Flashbacks explain that the ambassador was a Nazi who killed Max's foster parents. Romy Schneider's final film in which she plays the dual roles of Max's foster mother and his wife
Drawing large pictures at random Oberwolfach lecture 2007
by Wendelin Werner
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3 editions published in 2007 in English and held by 19 WorldCat member libraries worldwide
Lectures on Probability Theory and Statistics Ecole dEt de Probabilit s de SaintFlour XXXII  2002 00
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1 edition published in 2004 in English and held by 7 WorldCat member libraries worldwide
Les Courbes planes aléatoires
by Wendelin Werner
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2 editions published between 2003 and 2005 in French and held by 4 WorldCat member libraries worldwide
QUELQUES PROPRIETES DU MOUVEMENT BROWNIEN PLAN
by Wendelin Werner
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1 edition published in 1993 in French and held by 3 WorldCat member libraries worldwide LA PRESENTE THESE SE COMPOSE DE TROIS PARTIES INDEPENDANTES PRESENTANT CHACUNE DES RESULTATS NOUVEAUX SUR LE MOUVEMENT BROWNIEN PLAN: LA PREMIERE PARTIE EST CONSACREE AU TEMPS LOCAUX D'INTERSECTION D'ORDRE QUELCONQUE DU MOUVEMENT BROWNIEN PLAN; ON Y CONSTRUIT DES RENORMALISATIONS (INSPIREES PAR LA RENORMALISATION DE DYNKIN DES TEMPS LOCAUX D'AUTOINTERSECTION) ET ON EN DEDUIT UN DEVELOPPEMENT ASYMPTOTIQUE DES TEMPS LOCAUX D'INTERSECTION AU VOISINAGE DE LEURS SINGULARITES. LA SECONDE PARTIE EST CONSACREE A L'ETUDE DE LA FORME DES COMPOSANTES CONNEXES DU COMPLEMENTAIRE DE LA COURBE BROWNIENNE PLANE. LA TROISIEME PARTIE ETUDIE LE COMPORTEMENT ASYMPTOTIQUE (LORSQUE N TEND VERS L'INFINI) DE L'AIRE DE L'ENSEMBLE DES POINTS AUTOUR DESQUELS LE MOUVEMENT BROWNIEN TOURNE (ENVIRON) N FOIS AVANT UN INSTANT DONNE
Mouvement brownien plan, SLE, invariance conforme et dimensions fractales
by Vincent Beffara
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1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide This thesis is dedicated to the study of various geometric properties of planar Brownian motion and the SLE process (also known as stochastic Loewner evolution). We prove that, on a typical planar Brownian path, there almost surely exist "pivoting" points, i.e. cutpoints around which one half of the curve can rotate by a positive angle without ever intersecting the other half of the path; the set of all pivoting points of a given positive (small enough) angle is then of positive Hausdorff dimension. About SLE, the main result we obtain in this thesis is the computation of the Hausdorff dimension of the curve generating it (the dimension is equal to one plus one eighth of the parameter), for any positive parameter smaller than eight and different from four. We also study the problem of the generalization of the SLE process to nonsimply connected surfaces; we show that the construction is doable for two particular values of the parameter (six and eight thirds), but the universality property of usual SLE 1S then lost
Sur le processus de SchrammLoewner et la limite continue de la percolation critique plane
by Julien Dubédat
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1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide L'objet de ce travail est l'étude de certaines propriétés de l'Evolution de SchrammLoewner (SLE), en particulier en relation avec la limite continue de la percolation critique plane. On considère d'abord les martingales holomorphes du SLE, les géométries planes associées, et dans le cas du SLE(6) la famille de systèmes holonomes satisfaits par des événements naturels pour la percolation critique. On étudie ensuite une famille de mouvements browniens plans réfléchis liés au SLE; en particulier, on interprète la formule de Watts, énoncée dans le contexte de la percolation critique, en termes de mouvement brownien réfléchi.Puis on examine les formules de percolation liées à des configurations annulaires; la convergence des interfaces de percolation vers le SLE(6) permet d'exprimer ces questions comme des problèmes de première sortie pour un processus de Markov à valeurs dans un espace de modules. La conjecture de dualité pour le SLE porte sur la loi de la frontière du SLE lorsque celuici n'est pas une courbe simple; on formule des conjectures précises, basées sur l'étude des formules de restriction. Enfin, on prouve l'existence de décompositions en excursions pour le SLE par rapport aux points de frontière et aux points de coupure. Incidemment, ceci permet de prouver rigoureusement une formule de percolation, la formule de Watts
Réflexion coalescence et retournement du temps pour certaines familles de diffusions
by Florin Soucaliuc
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1 edition published in 2001 in French and held by 2 WorldCat member libraries worldwide LE THEME GENERAL DU PRESENT TRAVAIL EST L'ETUDE DES LIENS ENTRE RETOURNEMENT DU TEMPS, REFLEXION ET COALESCENCE POUR CERTAINES FAMILLES DE DIFFUSIONS. DANS UN PREMIER TEMPS ON S'INTERESSE AU CAS A PRIORI LE PLUS SIMPLE, MAIS QUI S'EST AVERE RECELER DES FAITS SURPRENANTS, A SAVOIR CELUI DES FAMILLES DE MOUVEMENTS BROWNIENS COALESCENTS ET REFLECHISSANTS. UN PREMIER RESULTAT SIMPLE (AU DEBUT DU CHAPITRE I, UNE AUTRE PREUVE FAISANT L'OBJET DU COURT CHAPITRE II) QUI RESSORT DE CETTE ETUDE AFFIRME QU'UN MOUVEMENT BROWNIEN REFLECHI SUR UN MOUVEMENT BROWNIEN RETOURNE INDEPENDANT RESTE UN MOUVEMENT BROWNIEN. CE RESULTAT EST GENERALISE DANS DIVERSES DIRECTIONS : DANS LE CHAPITRE I, POUR DES FAMILLES DE MOUVEMENTS BROWNIENS COALESCENTS ET REFLECHISSANTS, DANS LE CHAPITRE IV EN REMPLACANT LES MOUVEMENTS BROWNIENS PAR DEUX DIFFUSIONS CONJUGUEES (OU DUALES). LE CAS DE DEUX PROCESSUS DE BESSEL DE DIMENSIONS RESPECTIVES ET 2 RECOIT UNE ATTENTION PARTICULIERE, EN RAISON DE SON INTERPRETATION POSSIBLE COMME LIMITES DE COURBES DU TEMPS LOCAL DE CERTAINES MARCHES ALEATOIRES AUTOREPOUSSANTES. LE CHAPITRE III EST CONSACRE A UNE ETUDE SYSTEMATIQUE DES DIFFUSIONS REELLES A BARRIERES REFLECHISSANTES GENERALISEES, POUR LESQUELLES DES RESULTATS D'APPROXIMATION PAR DES MARCHES ALEATOIRES SONT ETABLIS AU DEBUT DU CHAPITRE IV
Percolation presquecritique en deux dimensions, et quelques modèles liés
by Pierre Nolin
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1 edition published in 2008 in French and held by 2 WorldCat member libraries worldwide This thesis consists of six chapters, studying various questions related to percolation near criticality in two dimensions. In chapter 1, we present in detail Kesten's results and techniques allowing to describe nearcritical percolation, and we derive some new consequences. We then apply these ideas in the next chapters : we study successively a model of incipient infinite cluster (chapter 2), the geometric properties of interfaces in nearcritical regime (chapter 3), the gradient percolation model (chapters 4 and 5), which is a model of inhomogeneous percolation, and finally some diffusion model (chapter 6), for which we show that a fractal geometry spontaneously arises
Perturbed Brownian motions
by Mihael Perman
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1 edition published in 1997 in English and held by 1 WorldCat member library worldwide We study "perturbed Brownian motions", that can be, loosely speaking, describes as follows: they behave exactly as linear Brownian motion except they hit their maximum or minimum where they get an extra "push". We define with no restrictions on the perturbation parameters a process which has this property and show that its law is unique within a certain "natural class" of processes. In the case where both perturbations (at the maximum and at the minimum) are selfrepelling, we show that in fact, moer is true: Such a process can almost surely be constructed from Brownian paths by a onetoone measurable transformation. This generalizes some results of CarmonaPetitYor and Davis. We also derive some fine properties of perturbed Brownian motions (Hausdorff dimension of points of monotonicity for example)
Processus autointeragissants et grandes déviations
by Laure Dumaz
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1 edition published in 2012 in English and held by 1 WorldCat member library worldwide This thesis focuses on various aspects of nonGaussian distributions and processes sharing scaling properties where the exponent 2/3 appears. The two probabilistic objects that we will introduce are: 1) TracyWidom distribution: This is the large dimensional limit of the top eigenvalue of random matrices in betaensembles. In a joint work with Balint Virag, we studied the asymptotic behavior of its right tail for all positive beta, using tools coming from diffusion analysis, such as the Girsanov formula. 2) The "true self repelling motion" (TSRM): This is a selfinteracting process which was introduced by Balint Toth and Wendelin Werner. We have been interested in properties related to trajectories of this motion (large deviations, law of the iterated logarithm) and explicit distribution computations (joint work with Balint Toth). During this study, we have also dealt with questions related to game theory
Sur la théorie conforme des champs et les processus SLE
by Roland Friedrich
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1 edition published in 2004 in English and held by 1 WorldCat member library worldwide This thesis explores the connections between a class of stochastic processes called "Stochastic Loewner Evolution" (SLE) and conformal field theory (CFT). We start first by recalling some important results which we utilise in the sequel, in particular the notion of conformal restriction and of the "restriction martingale", originally introduced by Lawler, Schramm and Werner. We also derive the radial Loewner equation, based on Hadamard's variational principle. This method is useful to generalise SLE to Riemann surfaces. Then we give an explicit construction of a link between SLE and the representation theory of the Virasoro algebra, in particular, we interpret the Ward identities in terms of the restriction property and the central charge in terms of the density of Brownian bubbles. Then we show that this interpretation permits to relate the K of the stochastic process with the central charge c of the conformal field theory. This is achieved by a highestweight representation which is degenerate at level two, of the Virasoro algebra. We then proceed by giving a derivation of the same relations, but from the theoretical physics point of view. In particular, we explore the relation between SLE and the geometry of the underlying moduli spaces. In the final part of this work we outline a general construction which allows to construct random curves on arbitrary Riemann surfaces. The key to this is to consider the canonical operator [\frac{\kappa}{2} L^2_{1}  2L_{2}] as the generator of a diffusion on an appropriate moduli space
Karl Löwner et les découpages de formes conférence du mercredi 10 avril 2013
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1 edition published in 2013 in French and held by 1 WorldCat member library worldwide
Quelques proprietes du mouvement brownien plan
by Wendelin Werner
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Book
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1 edition published in 1993 in French and held by 1 WorldCat member library worldwide
Autour les relations entre SLE, CLE, champ libre Gaussien, et les conséquences
by Hao Wu
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1 edition published in 2013 in English and held by 1 WorldCat member library worldwide This thesis focuses on various relations between SLE, CLE and GFF. In Chapter 2, we give a construction of SLE(k,r) processes from CLE(k) loop configuration and chordal restriction samples. Sheffield and Werner has proved that CLE(k) can be constructed from symmetric SLE(k,k6) exploration processes. We prove in Chapter 3 that the loop configuration constructed from the asymmetric SLE(k,k6) exploration processes also give the same law CLE(k). SLE(4) can be viewed as level lines of GFF and CLE(4) can be viewed as the collection of level lines of GFF. We define a conformally invariant time parameter for each loop in CLE(4) in the second part of Chapter 3 and then give a coupling between GFF and CLE(4) with time parameter in Chapter 4. SLE(k,r) can be viewed as flow lines of GFF. We derive the Hausdorff dimension of the intersection of two flow lines in GFF. Then, from there, we obtain the dimension of the cut and double point set of SLE curve in Chapter 5. In Chapter 6, we define the radial restriction measure, prove the characterization of these measures, and show the if and only if condition for the existence of radial restriction measure
Laplaciens des graphes sur les surfaces et applications à la physique statistique
by Adrien Kassel
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1 edition published in 2013 in English and held by 1 WorldCat member library worldwide Nous étudions le déterminant du laplacien sur les fibrés vectoriels sur les graphes et l'utilisons, en lien avec des techniques d'analyse complexe discrète, pour comprendre des modèles de physique statistique. Nous calculons certaines constantes de réseaux, construisons des limites d'échelles d'excursions de la marche aléatoire à boucles effacées sur les surfaces, et étudions certains champs gaussiens et processus déterminantaux
Lectures on random planar curves and SchrammLoewner evolutions École d'été de probabilités de SaintFlour  2002
by Wendelin Werner
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1 edition published in 2002 in English and held by 1 WorldCat member library worldwide more
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Brownian motion processes Distribution (Probability theory) Engineering mathematics Foster parents France Fugitives from justice Germany GermanyBerlin Holocaust, Jewish (19391945) Human rights workers Ising model Kessel, Joseph, Mathematical statistics Mathematics Mothers and sons Motion pictures Motion pictures, French Paraguay Percolation (Statistical physics) Physics Probabilities Science Statistical physics Statistics Technological innovations War criminals

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Werner, W. 23.09.1968
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