Talagrand, Michel 1952Overview
Publication Timeline
Most widely held works by
Michel Talagrand
The generic chaining upper and lower bounds of stochastic processes
by Michel Talagrand
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19 editions published in 2005 in English and held by 801 WorldCat member libraries worldwide The fundamental question of characterizing continuity and boundedness of Gaussian processes goes back to Kolmogorov. After essential contributions by R. Dudley and X. Fernique, it was solved by the author in 1985. This advance was followed by a great improvement of our understanding of the boundedness of other fundamental classes of processes (empirical processes, infinitely divisible processes, etc.) This challenging body of work has now been considerably simplified through the notion of "generic chaining", a completely natural variation on the ideas of Kolmogorov. The entirely new presentati
Probability in Banach spaces : isoperimetry and processes
by Michel Ledoux
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Book
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25 editions published between 1991 and 2011 in English and held by 435 WorldCat member libraries worldwide Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed
Lectures on probability theory and statistics : Ecole d'été de probabilités de SaintFlour XXX, 2000
by Sergio Albeverio
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Book
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20 editions published between 2002 and 2003 in English and German and held by 357 WorldCat member libraries worldwide In World Mathematical Year 2000 the traditional St. Flour Summer School was hosted jointly with the European Mathematical Society. Sergio Albeverio reviews the theory of Dirichlet forms, and gives applications including partial differential equations, stochastic dynamics of quantum systems, quantum fields and the geometry of loop spaces. The second text, by Walter Schachermayer, is an introduction to the basic concepts of mathematical finance, including the Bachelier and BlackScholes models. The fundamental theorem of asset pricing is discussed in detail. Finally Michel Talagrand, gives an overview of the mean field models for spin glasses. This text is a major contribution towards the proof of certain results from physics, and includes a discussion of the SherringtonKirkpatrick and the pspin interaction models
Mean field models for spin glasses
by Michel Talagrand
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11 editions published between 2010 and 2011 in English and held by 341 WorldCat member libraries worldwide This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for Mathematicians". This new edition will appear in two volumes, the present first volume presents the basic results and methods, the second volume is expected to appear in 2011. In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by nonrigorous methods and predicted spectacular behaviors. This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics. The first volume of this new and completely rewritten edition presents six fundamental models and the basic techniques to study them
Mean field models for spin glasses
by Michel Talagrand
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12 editions published between 2011 and 2013 in English and held by 332 WorldCat member libraries worldwide This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for Mathematicians" in two volumes (this is the 2nd volume). In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by nonrigorous methods and predicted spectacular behaviors. This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics. The present Volume II contains a considerable amount of new material, in particular all the fundamental lowtemperature results obtained after the publication of the first edition
Upper and lower bounds for stochastic processes : modern methods and classical problems
by Michel Talagrand
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12 editions published in 2014 in English and held by 291 WorldCat member libraries worldwide The book develops modern methods and in particular the "generic chaining" to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given to stable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete solution of a number of classical problems is given in complete detail, and an ambitious program for future research is laid out
Spin glasses : a challenge for mathematicians : cavity and mean field models
by Michel Talagrand
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Book
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10 editions published between 2003 and 2010 in English and held by 277 WorldCat member libraries worldwide
Pettis integral and measure theory
by Michel Talagrand
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Book
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10 editions published between 1984 and 1986 in English and held by 252 WorldCat member libraries worldwide
High dimensional probability
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Book
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10 editions published in 1998 in English and held by 197 WorldCat member libraries worldwide What is high dimensional probability? Under this broad term one finds a collection of topics associated by the fact that ñ plays a key role in each, whether the idea of high dimension ñ is expressed in the problem or in the methods by which it is approached. For example, the study of probability in Banach spaces gave impetus to a number of methods whose importance has gone far beyond the original goal of extending limit laws to the vector valued case. Familiar applications are in the areas of empirical processes, the use of majorizing measures to study regularity of stochastic processes, and the theory of concentration of measure. Many of the new ideas, results and directions of this newly evolving field were explored on a broad front at the Conference on High Dimensional Probability held at Oberwolfach in August 1996. The papers in this volume are marked by vitality and diversity and will give researchers and graduate students in probability or statistics much to whet their interest
Mean field models for spin glasses
by Michel Talagrand
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Book
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16 editions published between 2010 and 2011 in 3 languages and held by 173 WorldCat member libraries worldwide This is a new, completely revised, updated and enlarged edition of the author's "Ergebnisse" volume 46: "Spin Glasses: A Challenge for Mathematicians" in two volumes (this is the 2nd volume). In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by nonrigorous methods and predicte
Mean field models for spin glasses. advanced replicasymmetry and low temperature
by Michel Talagrand
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Book
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3 editions published in 2011 in English and held by 16 WorldCat member libraries worldwide
Lectures on probabililty theory and statistics : Ecole d'Eté de de Probabilités de SaintFlour XXX  2000
by Ecole d'été de probabilités de SaintFlour
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Book
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1 edition published in 2003 in English and held by 6 WorldCat member libraries worldwide
Mean field models for spin glasses
by Michel Talagrand
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1 edition published in 2011 in English and held by 6 WorldCat member libraries worldwide
Mean field models for spin glasses : volume ii
by Michel Talagrand
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Book
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2 editions published between 2011 and 2013 in English and held by 5 WorldCat member libraries worldwide
Lectures on Probability Theory and Statistics Ecole dEt de Probabilit s de SaintFlour XXX  2000 00
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1 edition published in 2003 in English and held by 5 WorldCat member libraries worldwide
Factorization estimates for Abelian varieties
by David William Masser
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Book
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1 edition published in 1995 in French and held by 5 WorldCat member libraries worldwide
Lectures on probability theory de SaintFlour Ecole d'Eté de Probabilités de SaintFlour XXX2000
by Sergio Albeverio
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Book
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1 edition published in 2003 in Multiple languages and held by 3 WorldCat member libraries worldwide
Mean Field Models for Spin Glasses : Volume I: Basic Examples
by Michel Talagrand
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3 editions published between 2011 and 2013 in English and held by 3 WorldCat member libraries worldwide
Mesures invariantes, compacts de fonctions mesurables et topologie faible des espaces de Banach
by Michel Talagrand
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Book
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1 edition published in 1977 in French and held by 3 WorldCat member libraries worldwide
Lectures on probability theory and statistics
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1 edition published in 2003 in English and held by 3 WorldCat member libraries worldwide more
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Associated Subjects
Abelian varieties Banach spaces Distribution (Probability theory) Eigenfunctions Ergodic theory Extreme value theory Factorization (Mathematics) Finance Functional analysis Gaussian processes Isoperimetric inequalities Linear topological spaces Mathematical optimization Mathematical physics Mathematical statistics Mathematics Mean field theory Measure theory padic groups Pettis integral Probabilities Spectral theory (Mathematics) Spin glassesMathematical models Statistics Stochastic geometry Stochastic processes Stochastic processesMathematical models Theory of distributions (Functional analysis)

Alternative Names
Talagrand, M.
Talagrand, M. 1952
Talagrand, M. (Michel), 1952
Talagrand, Michel
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