Talagrand, Michel 1952
Overview
Works:  43 works in 224 publications in 4 languages and 4,318 library holdings 

Genres:  Conference papers and proceedings History 
Roles:  Author, Other, Editor 
Classifications:  QA3, 519.2 
Publication Timeline
.
Most widely held works by
Michel Talagrand
Probability in Banach spaces : isoperimetry and processes by
Michel Ledoux(
Book
)
31 editions published between 1991 and 2012 in English and held by 456 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
31 editions published between 1991 and 2012 in English and held by 456 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
Spin glasses : a challenge for mathematicians : cavity and mean field models by
Michel Talagrand(
Book
)
12 editions published between 2003 and 2010 in English and held by 300 WorldCat member libraries worldwide
12 editions published between 2003 and 2010 in English and held by 300 WorldCat member libraries worldwide
Lectures on probability theory and statistics : Ecole d'Eté de Probabilités de SaintFlour XXXII2002 by
Boris Tsirelson(
Book
)
20 editions published in 2003 in English and German and held by 259 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
20 editions published in 2003 in English and German and held by 259 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
Pettis integral and measure theory by
Michel Talagrand(
Book
)
12 editions published between 1984 and 1986 in English and held by 259 WorldCat member libraries worldwide
12 editions published between 1984 and 1986 in English and held by 259 WorldCat member libraries worldwide
The generic chaining : upper and lower bounds of stochastic processes by
Michel Talagrand(
Book
)
19 editions published between 2005 and 2010 in English and held by 244 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
19 editions published between 2005 and 2010 in English and held by 244 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
High dimensional probability by
Ernst Eberlein(
Book
)
9 editions published in 1998 in English and held by 182 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
9 editions published in 1998 in English and held by 182 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
Upper and lower bounds for stochastic processes : modern methods and classical problems by
Michel Talagrand(
Book
)
20 editions published between 2004 and 2016 in 3 languages and held by 153 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
20 editions published between 2004 and 2016 in 3 languages and held by 153 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
Mean field models for spin glasses by
Michel Talagrand(
Book
)
in Undetermined and English and held by 86 WorldCat member libraries worldwide
in Undetermined and English and held by 86 WorldCat member libraries worldwide
Mean field models for spin glasses. advanced replicasymmetry and low temperature by
Michel Talagrand(
Book
)
20 editions published between 2011 and 2013 in English and held by 67 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
20 editions published between 2011 and 2013 in English and held by 67 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
Mean field models for spin glasses by
Michel Talagrand(
Book
)
19 editions published between 2011 and 2013 in English and held by 53 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
19 editions published between 2011 and 2013 in English and held by 53 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 : Volume II: Advanced ReplicaSymmetry and Low Temperature by
Michel Talagrand(
)
7 editions published in 2011 in 3 languages and held by 25 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 n
7 editions published in 2011 in 3 languages and held by 25 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 n
Mean field models for spin glasses by
Michel Talagrand(
Book
)
8 editions published between 2010 and 2011 in English and held by 16 WorldCat member libraries worldwide
8 editions published between 2010 and 2011 in English and held by 16 WorldCat member libraries worldwide
Lectures on probability theory and statistics : Ecole d'Eté de Probabilités de SaintFlour XXV  1995 by
M. T Barlow(
Book
)
6 editions published between 2002 and 2003 in English and held by 13 WorldCat member libraries worldwide
Annotation
6 editions published between 2002 and 2003 in English and held by 13 WorldCat member libraries worldwide
Annotation
Mean field models for spin glasses by
Michel Talagrand(
)
2 editions published in 2011 in English and held by 8 WorldCat member libraries worldwide
2 editions published in 2011 in English and held by 8 WorldCat member libraries worldwide
Factorization estimates for Abelian varieties by
David William Masser(
Book
)
1 edition published in 1995 in French and held by 5 WorldCat member libraries worldwide
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(
Book
)
1 edition published in 2003 in Multiple languages and held by 3 WorldCat member libraries worldwide
1 edition published in 2003 in Multiple languages and held by 3 WorldCat member libraries worldwide
SOMMES VECTORIELLES D'ENSEMBLES DE MESURE NULLE. CONVOLUTION DE MESURES PORTEES PAR DES SURFACES CONVEXES. SUR UNE CONJECTURE
DE H.H. CORSON by
Michel Talagrand(
Book
)
1 edition published in 1975 in French and held by 3 WorldCat member libraries worldwide
ON DEMONTRE: SOIT UN ENSEMBLE ANALYTIQUE A DE R TEL QUE POUR TOUT COMPACT X DE R, DE MESURE DE LEBESQUE NULLE, A+X SOIT AUSSI DE MESURE NULLE, ALORS A EST DENOMBRABLE. EXTENSION AUX GROUPES DE LIE. ROLE DES COMPACTS PARFAITS DANS LE CAS NON METRISABLE. PARTIES COUVRANTES. EXTENSION AUX GROUPES ABELIENS LOCALEMENT COMPACTS. ENSEMBLE SINGULIER. CONVOLUTION DE MESURES PORTEES PAR DES SURFACES CONVEXES. SUR UNE CONJECTURE DE H.H. CORSON
1 edition published in 1975 in French and held by 3 WorldCat member libraries worldwide
ON DEMONTRE: SOIT UN ENSEMBLE ANALYTIQUE A DE R TEL QUE POUR TOUT COMPACT X DE R, DE MESURE DE LEBESQUE NULLE, A+X SOIT AUSSI DE MESURE NULLE, ALORS A EST DENOMBRABLE. EXTENSION AUX GROUPES DE LIE. ROLE DES COMPACTS PARFAITS DANS LE CAS NON METRISABLE. PARTIES COUVRANTES. EXTENSION AUX GROUPES ABELIENS LOCALEMENT COMPACTS. ENSEMBLE SINGULIER. CONVOLUTION DE MESURES PORTEES PAR DES SURFACES CONVEXES. SUR UNE CONJECTURE DE H.H. CORSON
Mesures invariantes, compacts de fonctions mesurables et topologie faible des espaces de Banach by
Michel Talagrand(
Book
)
1 edition published in 1977 in French and held by 3 WorldCat member libraries worldwide
1 edition published in 1977 in French and held by 3 WorldCat member libraries worldwide
Histoire de la Principauté d'Orange by
Michel Talagrand(
Book
)
2 editions published in 1935 in French and held by 3 WorldCat member libraries worldwide
2 editions published in 1935 in French and held by 3 WorldCat member libraries worldwide
High dimensional probability 11.0817.08.1996(
Book
)
3 editions published between 1996 and 1998 in English and held by 2 WorldCat member libraries worldwide
3 editions published between 1996 and 1998 in English and held by 2 WorldCat member libraries worldwide
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Related Identities
 Ledoux, Michel 1958 Author
 Schachermayer, Walter Other
 Albeverio, Sergio Other Author
 Bernard, P. (Pierre) 1944 Editor
 Eberlein, Ernst Other Author Editor
 Hahn, Marjorie G. Other Editor
 SpringerLink (Service en ligne)
 Rhee, WanSoo T. Author
 Université Pierre et Marie Curie (Paris)
 Luo, Wenzhi
Useful Links
Associated Subjects
Abelian varieties Banach spaces Brownian motion processes Differential equations, Partial Diffusion processes Distribution (Probability theory) Eigenfunctions Ergodic theory Extreme value theory Factorization (Mathematics) Fractals FranceOrange Functional analysis Gaussian measures Gaussian processes GeneticsMathematics Gibbs' equation Global analysis (Mathematics) Global differential geometry Inverse problems (Differential equations) Ising model Isoperimetric inequalities Lattice theory Lévy processes Linear topological spaces Malliavin calculus Mathematical physics Mathematical statistics Mathematics Mean field theory Measure theory padic groups Perturbation (Mathematics) Pettis integral Population geneticsMathematical models Population geneticsStatistical methods Potential theory (Mathematics) Probabilities Random walks (Mathematics) Rotational motion Spectral theory (Mathematics) Spin glassesMathematical models Spin glassesMathematics Statistical physics Statistics Stochastic geometry Stochastic processes Stochastic processesMathematical models Theory of distributions (Functional analysis) Trees (Graph theory)
Alternative Names
Michel Talagrand Frans wiskundige
Michel Talagrand fransk matematikar
Michel Talagrand fransk matematiker
Michel Talagrand französischer Mathematiker
Michel Talagrand French mathematician
Michel Talagrand matemático francés
Michel Talagrand matematico francese
Michel Talagrand mathématicien français
Talagrand, M.
Talagrand, M. 1952
Talagrand, M. (Michel), 1952
Talagrand, Michel
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