Michel Talagrand

Michel Talagrand's AcademicInfluence.com Rankings

Michel Talagrand

Mathematics

#735

World Rank

#1336

Historical Rank

Measure Theory

#224

World Rank

#348

Historical Rank

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Mathematics

Why Is Michel Talagrand Influential?

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According to Wikipedia, Michel Pierre Talagrand is a French mathematician. Docteur ès sciences since 1977, he has been, since 1985, Directeur de Recherches at CNRS and a member of the Functional Analysis Team of the Institut de Mathématique of Paris. Talagrand was elected as correspondent of the Académie des sciences of Paris in March 1997, and then as a full member in November 2004, in the Mathematics section.

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Michel Talagrand's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Probability in Banach Spaces: Isoperimetry and Processes (1991) (1837)
Probability in Banach spaces (1991) (1041)
Concentration of measure and isoperimetric inequalities in product spaces (1994) (890)
New concentration inequalities in product spaces (1996) (565)
Sharper Bounds for Gaussian and Empirical Processes (1994) (548)
The parisi formula (2006) (500)
Transportation cost for Gaussian and other product measures (1996) (440)
Spin Glasses: A Challenge for Mathematicians (2003) (414)
A new look at independence (1996) (401)
The Generic Chaining (2005) (336)
The Generic chaining : upper and lower bounds of stochastic processes (2005) (307)
Regularity of gaussian processes (1987) (285)
Spin glasses : a challenge for mathematicians : cavity and mean field models (2003) (264)
Mean Field Models for Spin Glasses (2011) (259)
On Russo's Approximate Zero-One Law (1994) (253)
Pettis integral and measure theory (1984) (236)
Majorizing measures: the generic chaining (1996) (227)
Upper and Lower Bounds for Stochastic Processes: Modern Methods and Classical Problems (2014) (223)
Upper and Lower Bounds for Stochastic Processes (2021) (211)
Pointwise Compact Sets of Baire-Measurable Functions (1978) (204)
Lectures on Probability Theory and Statistics (2000) (184)
The Glivenko-Cantelli Problem (1987) (150)
Free energy of the spherical mean field model (2006) (131)
A new isoperimetric inequality and the concentration of measure phenomenon (1991) (123)
Hausdorff Measure of Trajectories of Multiparameter Fractional Brownian Motion (1995) (121)
The missing factor in Hoeffding's inequalities (1995) (118)
Bounds for diluted mean-fields spin glass models (2004) (109)
How much are increasing sets positively correlated? (1996) (106)
Martingale Inequalities and NP-Complete Problems (1987) (103)
Rigorous results for the Hopfield model with many patterns (1998) (98)
Isoperimetry, logarithmic sobolev inequalities on the discrete cube, and margulis' graph connectivity theorem (1993) (93)
The Small Ball Problem for the Brownian Sheet (1994) (93)
WEAK CAUCHY SEQUENCES IN L 1(E) (1984) (89)
An isoperimetric theorem on the cube and the Kintchine-Kahane inequalities (1988) (87)
THE SUPREMUM OF SOME CANONICAL PROCESSES (1994) (85)
Sample Boundedness of Stochastic Processes Under Increment Conditions (1990) (84)
The Sherrington–Kirkpatrick model: a challenge for mathematicians (1998) (78)
Isoperimetry and Integrability of the Sum of Independent Banach-Space Valued Random Variables (1989) (74)
New Gaussian estimates for enlarged balls (1993) (73)
The generalized Parisi formula (2003) (72)
Matching Random Samples in Many Dimensions (1992) (71)
THE TRANSPORTATION COST FROM THE UNIFORM MEASURE TO THE EMPIRICAL MEASURE IN DIMENSION > 3 (1994) (69)
Characterization of the Law of the Iterated Logarithm in Banach Spaces (1988) (67)
A decomposition theorem for additive set-functions, with applications to pettis integrals and ergodic means (1979) (66)
Embedding Subspaces of L 1 into l N 1 (1990) (64)
Maharam’s problem (2006) (62)
Majorizing measures without measures (2001) (61)
The Glivenko-Cantelli problem, ten years later (1996) (57)
On the overlap in the multiple spherical SK models (2006) (57)
Lim Inf Results for Gaussian Samples and Chung's Functional LIL (1994) (54)
Construction of pure states in mean field models for spin glasses (2010) (52)
Multiple points of trajectories of multiparameter fractional Brownian motion (1998) (51)
Rigorous low-temperature results for the mean field p-spins interaction model (2000) (51)
A sharp deviation inequality for the stochastic traveling salesman problem (1989) (49)
Small tails for the supremum of a Gaussian process (1988) (48)
A simple proof of the majorizing measure theorem (1992) (45)
An “isomorphic” version of the sauer-shelah lemma and the banach-mazur distance to the cube (1989) (44)
Comparison Theorems, Random Geometry and Some Limit Theorems for Empirical Processes (1989) (44)
Advanced replica-symmetry and low temperature (2011) (43)
Matching theorems and empirical discrepancy computations using majorizing measures (1994) (43)
Regularity of Infinitely Divisible Processes (1993) (42)
On Line Bin Packing with Items of Random Size (1993) (42)
Un Nouveau ℓ (K) Qui Possede la Propriete de Grothendieck (1980) (41)
Sections of smooth convex bodies via majorizing measures (1995) (40)
Continuity of $l^2$-Valued Ornstein-Uhlenbeck Processes (1990) (40)
Embedding subspaces of L1 into l1N (1990) (39)
Are many small sets explicitly small? (2010) (39)
Lower classes for fractional Brownian motion (1996) (35)
On boundaries and influences (1997) (34)
Cotype and (q, 1)-summing norm in a Banach space (1992) (33)
A new countably determined Banach space (1984) (31)
Exponential inequalities and convergence of moments in the replica-symmetric regime of the Hopfield model (2000) (30)
SOME APPLICATIONS OF ISOPERIMETRIC METHODS TO STRONG LIMIT THEOREMS FOR SUMS OF INDEPENDENT RANDOM VARIABLES (1990) (29)
Fractional Brownian motion and packing dimension (1996) (29)
The Integrability of the Square Exponential Transportation Cost (1993) (29)
A note on the selection of random variables under a sum constraint (1991) (29)
On the High Temperature Phase of the Sherrington-Kirkpatrick Model (2002) (29)
Closed convex hull of set of measurable functions, Riemann-measurable functions and measurability of translations (1982) (27)
On Guerra's broken replica-symmetry bound (2003) (27)
First class selectors for weakly upper semi-continuous multi-valued maps in Banach spaces. (1985) (27)
Exact bounds for the stochastic upward matching problem (1988) (27)
A new isoperimetric inequality for product measure and the tails of sums of independent random variables (1991) (26)
The high temperature case for the random K-sat problem (2001) (25)
A simple example of pathological submeasure (1980) (25)
Huge random structures and mean field models for spin glasses. (1998) (25)
Uniform bound in the central limit theorem for Banach space valued dependent random variables (1986) (24)
Optimal Bin Packing with Items of Random Sizes III (1989) (24)
Embedding subspaces of ₁ into ^{}₁ (1990) (24)
Large Deviations, Guerra’s and A.S.S. Schemes, and the Parisi Hypothesis (2007) (24)
Replica symmetry breaking and exponential inequalities for the Sherrington-Kirkpatrick model (2000) (24)
Selecting a proportion of characters (1998) (23)
On the meaning of Parisi's functional order parameter (2003) (23)
On the distribution of the overlaps at given disorder (2004) (23)
Martingale inequalities and the Jackknife estimate of variance (1986) (23)
Mean Field Models for Spin Glasses: Some Obnoxious Problems (2007) (22)
Vapnik--Chervonenkis type conditions and uniform Donsker classes of functions (2003) (22)
Scaling and non-standard matching theorems (2018) (22)
A conjecture on convolution operators, and a non-Dunford-Pettis operator onL1 (1989) (22)
Gaussian averages, Bernoulli averages, and Gibbs' measures (2002) (22)
Donsker Classes and Random Geometry (1987) (21)
Martingale Inequalities, Interpolation and NP-Complete Problems (1989) (21)
Uniform convexity and the distribution of the norm for a Gaussian measure (1986) (20)
The Ajtai-Komlos-Tusnady Matching Theorem for General Measures (1992) (20)
Donsker classes of sets (1988) (20)
Type, infratype and the Elton-Pajor theorem (1992) (19)
The Three-Space Problem for L 1 (1990) (18)
Some distributions that allow perfect packing (1988) (18)
Cotype of operators fromC(K) (1992) (17)
Some Structure Results for Martingales in the Limit and Pramarts (1985) (17)
Subgraphs of random graphs (1985) (17)
On the Rate of Clustering in Strassen’s Lil for Brownian Motion (1992) (17)
Bad Rates of Convergence for the Central Limit Theorem in Hilbert Space (1984) (17)
Constructions of majorizing measures Bernoulli processes and cotype (1994) (16)
The law of the iterated logarithm for empirical processes on Vapnik-Ccervonenkis classes (1989) (16)
A new type of affine Borel function. (1984) (16)
On-Line Bin Packing of Items of Random Sizes, II (1993) (15)
A Concentration Inequality for the K-Median Problem (1989) (15)
Embedding Subspaces of L p in ℓ p N (1995) (15)
Type and Cotype of Banach Spaces (1991) (14)
Intersecting random half-spaces: toward the Gardner-Derrida formula (2000) (14)
Choquet simplexes whose set of extreme points is $K$-analytic (1985) (14)
Characterization of Almost Surely Continuous 1-Stable Random Fourier Series and Strongly Stationary Processes (1990) (13)
On CS -closed sets (1979) (13)
On one property of Derrida–Ruelle cascades (2007) (13)
Intersecting random half cubes (1999) (13)
A Borderline Random Fourier Series (1995) (12)
Optimal Bin Packing with Items of Random Sizes II (1989) (12)
Order dentability and the Radon-Nikodym property in Banach lattices (1979) (12)
Are All Sets of Positive Measure Essentially Convex (1995) (11)
Infinitely Divisible Processes (2021) (11)
Some Remarks on the Berg-Kesten Inequality (1994) (11)
SELF ORGANIZATION IN THE LOW TEMPERATURE REGION OF A SPIN GLASS MODEL (2003) (10)
Some weakly compact operators between Banach lattices do not factor through reflexive Banach lattices (1986) (10)
On the Convexified Sauer-Shelah Theorem (1997) (10)
Applying a theorem of Fernique (1996) (10)
Measurability Problems for Empirical Processes (1987) (10)
Embedding of ℓk∞ and a Theorem of Alon and Milman (1995) (10)
Dual banach lattices and Banach lattices with the Radon-Nikodym property (1981) (10)
Multiple levels of symmetry breaking (2000) (10)
Necessary Conditions for Sample Boundedness of $p$-Stable Processes (1988) (10)
Optimal Bin Covering with Items of Random Size (1989) (10)
Approximating a helix in finitely many dimensions (1992) (10)
Guerra's interpolation using Derrida-Ruelle cascades (2007) (9)
Different Types of Invariant Means (1981) (9)
Self averaging and the space of interactions in neural networks (1999) (9)
On the high temperature region of the Sherrington–Kirkpatrick model (2001) (9)
Concentration and influences (1999) (9)
Some functions with a unique invariant mean (1981) (9)
Selector processes on classes of sets (2006) (9)
On liftings and the regularization of stochastic processes (1988) (9)
On the p-spin interaction model at low temperature (2000) (8)
Sudakov-type minoration for gaussian chaos processes (1992) (8)
An assignment problem at high temperature (2003) (8)
Orlicz property and cotype in symmetric sequence spaces (1994) (7)
Necessary and Sufficient Conditions for Sample Continuity of Random Fourier Series and of Harmonic Infinitely Divisible Processes (1992) (7)
The three-space problem for ¹ (1990) (7)
Dual bin packing with items of random sizes (1993) (7)
Multidimensional Optimal Bin Packing with Items of Random Size (1991) (7)
Banach sublattices of weakL1 (1987) (7)
A decomposition theorem in tensor products of Archimedean vector lattices (1979) (6)
Large deviation principles and generalized Sherrington-Kirkpatrick models (2000) (6)
Liftings of functions with values in a completely regular space (1980) (6)
On Berry-Esseen type bounds for m-dependent random variables valued in certain banach spaces (1981) (6)
On the existence of an analytic set meeting each compact set in a Borel set (1978) (5)
La pathologie des relèvements invariants (1982) (5)
Rigorous results for mean field models for spin glasses (2001) (5)
A generalized Chacon's inequality and order convergence of processes (1977) (4)
A Gaussian Measure on $l^\infty$ (1980) (4)
On the Hopfield model at the critical temperature (2001) (4)
Matching Random Subsets of the Cube with a Tight Control on One Coordinate (1992) (4)
Packing random intervals (1996) (4)
Three convex sets (1983) (4)
Gaussian Random Variables (1991) (4)
A Choquet theorem for general subspaces of vector-valued functions (1985) (4)
Matching Theorems, I (2014) (4)
Gaussian Processes and the Generic Chaining (2021) (4)
The Complete Convergence of Best Fit Decreasing (1989) (4)
Derivation, ^{Ψ}-bounded martingales and covering conditions (1986) (3)
Continuity Conditions for a Class of Gaussian Chaos Processes Related to Continuous Additive Functionals of Lévy Processes (1998) (3)
A Noncompletely Continuous Operator on L 1 (G) whose Random Fourier Transform is in c 0 (G) (1984) (3)
A general form of certain mean field models for spin glasses (2009) (3)
On T. Bartoszynskiʼs structure theorem for measurable filters (2013) (3)
Philosophy and Overview of the Book (2014) (3)
Stationary Processes and Random Fourier Series (1991) (3)
A Remark on Sudakov Minoration for Chaos (1994) (3)
Convergence in Distribution for Best-Fit Decreasing (1996) (3)
Probability Theory and Spin Glasses (3)
Processes Related to Gaussian Processes (2014) (2)
Chevet's theorem for stable processes II (1988) (2)
On the representation of increasing linear functionals on Riesz spaces by measures (1978) (2)
A noncompletely continuous operator on ₁() whose random Fourier transform is in ₀() (1984) (2)
Séminaire Choquet . Initiation à l ’ analyse (2006) (2)
Type and infratype in symmetric sequence spaces (2004) (2)
Chaining and the Geometry of Stochastic Processes (2014) (2)
Complete Convergence of the Directed TSP (1991) (2)
The structure of sign-invariant GB-sets and of certain Gaussian measures (1988) (2)
On the k-center problem with many centers (1989) (2)
INVARIANT MEANS ON AN IDEAL (1985) (2)
Some Isoperimetric Inequalities and Their Applications (2010) (2)
On the Gaussian Perceptron at High Temperature (2002) (2)
Spin Glasses: A New Direction for Probability Theory? (2000) (2)
A mean-field spin glass model based on diluted $$V$$V-statistics (2016) (2)
The Perceptron Model (2011) (2)
On the long edges in the shortest tour throughN random points (1992) (2)
A General Lower Bound for Gaussian Chaos (1998) (2)
The Random Weighted Interval Packing Problem: the Intermediate Density Case (2000) (2)
Rigorous construction of the pure states for certain spin glass models (2008) (1)
Packing random items of three colors (1992) (1)
Empirical Processes, II (2021) (1)
Regularity of Random Processes (1991) (1)
On subsets of $L^p$ and $p$-stable processes (1989) (1)
The Diluted SK Model and the K-Sat Problem (2011) (1)
A mean field model for spin glasses based on a 2-level perceptron (2008) (1)
The Rademacher Cotype of Operators from l N (1991) (1)
Sums of Independent Random Variables (1991) (1)
The Parisi Solution (2011) (1)
A note on Gaussian measure of translates of balls (1991) (1)
The Complete Convergence of First Fit Decreasing (1989) (1)
Introduction: Bachelier’s Thesis from 1900 (2003) (1)
Unfulfilled Dreams (2021) (1)
The Sherrington-Kirkpatrick Model (2011) (1)
Random Series of Functions (2021) (1)
The Law of the Iterated Logarithm (1991) (1)
Correction: Bad Rates of Convergence for the Central Limit Theorem in Hilbert Space (1989) (0)
What Is a Quantum Field Theory? (2022) (0)
The Hopfield Model (2011) (0)
The Fundamental Conjectures (2014) (0)
Generalities on Banach Space Valued Random Variables and Random Processes (1991) (0)
Proof of the Bernoulli Conjecture (2021) (0)
Peaky Part of Functions (2021) (0)
Contraction properties of forms, positivity preserving and submarkovian semigroups (2003) (0)
The Gardner Formula for the Discrete Cube (2011) (0)
The Ultimate Matching Theorem in Dimension ≥3 (2014) (0)
Bernoulli Processes (2021) (0)
The p-Spin Interaction Model (2011) (0)
Regularity of Gaussian and Stable Processes (1991) (0)
MAGNETIZATION OF THE PURE STATES IN THE p-SPIN INTERACTION MODEL (2004) (0)
An Assignment Problem (2011) (0)
Expected wasted space of optimal simple rectangle packing (2005) (0)
Intersecting random half spaces with a cube (2002) (0)
What this is all about: the REM (2003) (0)
External field and the replica-symmetric solution (2003) (0)
Functional analytic background: semigroups, generators, resolvents (2003) (0)
Diffusions and stochastic differential equations associated with classical Dirichlet forms (2003) (0)
On spreading models in $L^1(E)$ (1984) (0)
The Ghirlanda-Guerra Identities (2011) (0)
On vector-valued random Fourier series (1992) (0)
The Strong Law of Large Numbers (1991) (0)
Ergodic measures, almost periodic points and discrete orbits (1981) (0)
Shor’s Matching Theorem (2021) (0)
The Sherrington-Kirkpatrick model at high temperature (2003) (0)
Review: D. van Dulst, Characterization of Banach Spaces not containing$\ell ^1$ (1991) (0)
What Is This Book About? (2021) (0)
Stable Random Variables (1991) (0)
The V-statistics Model (2011) (0)
Convergence of Orthogonal Series; Majorizing Measures (2014) (0)
Trees and the Art of Lower Bounds (2014) (0)
Stable Random Variables (1991) (0)
Warming Up with p-Stable Processes (2021) (0)
Matching Theorems (2021) (0)
Potential Theory and Markov Processes associated with Dirichlet Forms (2003) (0)
Trees and Other Measures of Size (2021) (0)
The Rademacher cotype of operators from $l_\infty^N$ (1989) (0)
The Binomial Model, Bachelier’s Model and the Black-Scholes Model (2003) (0)
Partition Scheme for Families of Distances (2014) (0)
The Gardner Formula for the Sphere (2011) (0)
M ay 2 00 4 Random Multi-Overlap Structures and Cavity Fields in Diluted Spin Glasses (2008) (0)
Matching Theorems, II: Shor’s Matching Theorem (2014) (0)
Applications to Banach Space Theory (2021) (0)
Random Fourier Series and Trigonometric Sums (2021) (0)
The High-Temperature Region of the SK Model (2011) (0)
Convergence of Orthogonal Series: Majorizing Measures (2021) (0)
Embedding subspaces of $L\sb 1$ into $l\sp N\sb 1$ (1990) (0)
Theory and Practice of Empirical Processes (2014) (0)
Empirical Process Methods in Probability in Banach Spaces (1991) (0)
The No-Arbitrage Theory for General Processes (2003) (0)
Partitioning Scheme and Families of Distances (2021) (0)
Central limit theorems and the Almeida-Thouless line (2003) (0)
EMBEDDING SUBSPACES OF L, INTO /f (2010) (0)
High Dimensional Probability (1998) (0)
The Central Limit Theorem (1991) (0)
Gaussian Chaos (2021) (0)
The Ultimate Matching Theorem in Dimension 3 (2021) (0)
γ 2 and Γ 2 in honour of Dominique Bakry and Michel Talagrand (2022) (0)
Factorization estimates for abelian varieties . Homogénéité de certaines distributions sur les groupes p-adiques . Concentration of measure and isoperimetric inequalities in product spaces . Quantum ergodicity of eigenfunctions on PSL[2](Z)\H[2] (1995) (0)
Some applications of concentration inequalities to statistics (2018) (0)
Random Fourier Series and Trigonometric Sums, I (2014) (0)
The SK Model Without External Field (2011) (0)
The Shcherbina and Tirozzi Model (2011) (0)
What is the satisfiability threshold of random balanced Boolean expressions? (2021) (0)
DERIVATION,L'YBOUNDEDMARTINGALES AND COV - ERING CONDITIONS (2009) (0)
Isoperimetric Inequalities and the Concentration of Measure Phenomenon (1991) (0)
Closed symmetric coercive forms associated with Co-contraction semigroups (2003) (0)

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Ohio State University

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