## Talagrand, Michel

Compute Distance To:
 Author ID: talagrand.michel Published as: Talagrand, Michel; Talagrand, M. External Links: MGP · Wikidata · dblp · GND · IdRef Awards: Shaw Prize (2019)
 Documents Indexed: 304 Publications since 1975, including 10 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 31 Co-Authors with 79 Joint Publications 1,014 Co-Co-Authors
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### Co-Authors

 227 single-authored 31 Rhee, Wansoo T. 8 Ledoux, Michel 7 Fremlin, David H. 4 Ghoussoub, Nassif A. 3 Bourgain, Jean 3 Godefroy, Gilles 3 Marcus, Michael B. 3 Panchenko, Dmitry 2 Hansell, Roger W. 2 Jayne, John E. 2 Szarek, Stanislaw Jerzy 1 Alexander, Kenneth S. 1 Eberlein, Ernst W. 1 Edgar, Gerald Arthur 1 Friedman, Harvey M. 1 Goldman, André 1 Hahn, Marjorie Green 1 Iscoe, Ian 1 Kuelbs, James D. 1 Li, Wenbo V. 1 Mathias, Adrian R. D. 1 McDonald, David R. 1 Montgomery-Smith, Stephen J. 1 Ostaszewski, Adam J. 1 Parisi, Giorgio 1 Peck, N. Tenney 1 Rosenblatt, Joseph Max 1 Saab, Paulette 1 Xiao, Yimin 1 Yukich, Joseph Elliott 1 Zinn, Joel
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### Serials

 37 The Annals of Probability 18 Israel Journal of Mathematics 18 Probability Theory and Related Fields 17 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 13 Proceedings of the American Mathematical Society 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Comptes Rendus de l’Académie des Sciences. Série I 8 Bulletin des Sciences Mathématiques. Deuxième Série 7 Mathematics of Operations Research 7 SIAM Journal on Computing 7 Journal of Theoretical Probability 6 Geometric and Functional Analysis. GAFA 6 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 5 Mathematische Annalen 5 Transactions of the American Mathematical Society 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Studia Mathematica 4 Annales de l’Institut Fourier 4 Inventiones Mathematicae 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Combinatorica 4 The Annals of Applied Probability 3 American Journal of Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Mathematika 3 Random Structures & Algorithms 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Annals of Mathematics. Second Series 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica 2 Bulletin de la Société Mathématique de France 2 Gazette des Mathématiciens 2 Journal of Functional Analysis 2 Journal of Multivariate Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Mathematica Scandinavica 2 Journal of the American Mathematical Society 1 International Journal of Modern Physics B 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Reviews in Mathematical Physics 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Applied Probability 1 Journal of the Association for Computing Machinery 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Theoretical Computer Science 1 Statistics & Probability Letters 1 Operations Research Letters 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Mathematical Programming. Series A. Series B 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Documenta Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Publications du Département de Mathématiques 1 Progress in Probability 1 Springer Monographs in Mathematics 1 Classics in Mathematics
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### Fields

 163 Probability theory and stochastic processes (60-XX) 100 Functional analysis (46-XX) 75 Measure and integration (28-XX) 44 Statistical mechanics, structure of matter (82-XX) 23 General topology (54-XX) 20 Operations research, mathematical programming (90-XX) 14 Mathematical logic and foundations (03-XX) 14 Combinatorics (05-XX) 12 Abstract harmonic analysis (43-XX) 11 Operator theory (47-XX) 7 Computer science (68-XX) 6 Convex and discrete geometry (52-XX) 5 Statistics (62-XX) 4 Topological groups, Lie groups (22-XX) 4 Potential theory (31-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

251 Publications have been cited 5,006 times in 3,488 Documents Cited by Year
Probability in Banach spaces. Isoperimetry and processes. Zbl 0748.60004
Ledoux, Michel; Talagrand, Michel
1991
Concentration of measure and isoperimetric inequalities in product spaces. Zbl 0864.60013
Talagrand, Michel
1995
New concentration inequalities in product spaces. Zbl 0893.60001
Talagrand, Michel
1996
Sharper bounds for Gaussian and empirical processes. Zbl 0798.60051
Talagrand, M.
1994
Transportation cost for Gaussian and other product measures. Zbl 0859.46030
Talagrand, M.
1996
The Parisi formula. Zbl 1137.82010
Talagrand, Michel
2006
Spin glasses: A challenge for mathematicians. Cavity and mean field models. Zbl 1033.82002
Talagrand, Michel
2003
The generic chaining. Upper and lower bounds of stochastic processes. Zbl 1075.60001
Talagrand, Michel
2005
Mean field models for spin glasses. Volume I: Basic examples. 2nd revised and enlarged ed. Zbl 1214.82002
Talagrand, Michel
2011
Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003
Ledoux, Michel; Talagrand, Michel
2011
Upper and lower bounds for stochastic processes. Modern methods and classical problems. Zbl 1293.60001
Talagrand, Michel
2014
Espaces de Banachs faiblement K-analytiques. Zbl 0393.46019
Talagrand, Michel
1979
Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008
Ledoux, M.; Talagrand, M.
1988
Pettis integral and measure theory. Zbl 0582.46049
Talagrand, Michel
1984
Regularity of Gaussian processes. Zbl 0712.60044
Talagrand, Michel
1987
Pointwise compact sets of Baire-measurable functions. Zbl 0413.54016
Bourgain, Jean; Fremlin, David H.; Talagrand, Michel
1978
On Russo’s approximate zero-one law. Zbl 0819.28002
Talagrand, Michel
1994
Majorizing measures: The generic chaining. Zbl 0867.60017
Talagrand, Michel
1996
A new look at independence. Zbl 0858.60019
Talagrand, Michel
1996
Free energy of the spherical mean field model. Zbl 1130.82019
Talagrand, Michel
2006
Compacts de fonctions mesurables et filtres non mesurables. Zbl 0435.46023
Talagrand, Michel
1980
Hausdorff measure of trajectories of multiparameter fractional Brownian motion. Zbl 0830.60034
Talagrand, Michel
1995
Weak Cauchy sequences in $$L^ 1(E)$$. Zbl 0579.46025
Talagrand, Michel
1984
The Glivenko-Cantelli problem. Zbl 0632.60024
Talagrand, Michel
1987
Bounds for diluted mean-fields spin glass models. Zbl 1101.82041
Panchenko, Dmitry; Talagrand, Michel
2004
A new isoperimetric inequality and the concentration of measure phenomenon. Zbl 0818.46047
Talagrand, Michel
1991
A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means. Zbl 0393.28005
Fremlin, David H.; Talagrand, Michel
1979
The small ball problem for the Brownian sheet. Zbl 0835.60031
Talagrand, Michel
1994
Rigorous results for the Hopfield model with many patterns. Zbl 0897.60041
Talagrand, Michel
1998
Construction of pure states in mean field models for spin glasses. Zbl 1204.82037
Talagrand, Michel
2010
An isoperimetric theorem on the cube and the Kintchine-Kahane inequalities. Zbl 0691.60015
Talagrand, Michel
1988
New Gaussian estimates for enlarged balls. Zbl 0815.46021
Talagrand, M.
1993
The supremum of some canonical processes. Zbl 0798.60040
Talagrand, Michel
1994
The transportation cost from the uniform measure to the empirical measure in dimension $$\geq 3$$. Zbl 0809.60015
Talagrand, M.
1994
Matching random samples in many dimensions. Zbl 0761.60007
Talagrand, Michel
1992
Lim inf results for Gaussian samples and Chung’s functional LIL. Zbl 0849.60022
Kuelbs, James; Li, Wenbo V.; Talagrand, Michel
1994
Maharam’s problem. Zbl 1185.28002
Talagrand, Michel
2008
On the overlap in the multiple spherical SK models. Zbl 1128.60086
Panchenko, Dmitry; Talagrand, Michel
2007
Mean field models for spin glasses. Volume II: Advanced replica-symmetry and low temperature. 2nd revised and enlarged ed. Zbl 1232.82005
Talagrand, Michel
2011
Parisi measures. Zbl 1117.82025
Talagrand, Michel
2006
How much are increasing sets positively correlated? Zbl 0861.05008
Talagrand, Michel
1996
Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis’ graph connectivity theorem. Zbl 0806.46035
Talagrand, M.
1993
Renormages de quelques $${\mathcal C}(K)$$. (Renormings of some $${\mathcal C}(K)$$ spaces). Zbl 0611.46023
Talagrand, Michel
1986
Continuity of $$\ell ^ 2$$-valued Ornstein-Uhlenbeck processes. Zbl 0699.60052
Iscoe, I.; Marcus, M. B.; McDonald, D.; Talagrand, M.; Zinn, J.
1990
The missing factor in Hoeffding’s inequalities. Zbl 0837.60016
Talagrand, Michel
1995
The Sherrington-Kirkpatrick model: A challenge for mathematicians. Zbl 0909.60083
Talagrand, Michel
1998
Espaces de Baire et espaces de Namioka. Zbl 0582.54008
Talagrand, Michel
1985
La propriété de Dunford-Pettis dans $$C(K,E)$$ et $$L^ 1(E)$$. Zbl 0523.46015
Talagrand, Michel
1983
A new countably determined Banach space. Zbl 0537.46019
Talagrand, Michel
1984
Martingale inequalities and NP-complete problems. Zbl 0718.60040
Rhee, WanSoo T.; Talagrand, Michel
1987
Isoperimetry and integrability of the sum of independent Banach-space valued random variables. Zbl 0692.60016
Talagrand, Michel
1989
Embedding subspaces of $$L_ 1$$ into $$\ell ^ N_ 1$$. Zbl 0723.46012
Talagrand, Michel
1990
Deux generalisations d’un theoreme de I. Namioka. (Two generalisations of a theorem of I. Namioka). Zbl 0367.54004
Talagrand, Michel
1979
Cotype and $$(q,1)$$-summing norm in a Banach space. Zbl 0814.46010
Talagrand, Michel
1992
Lower classes for fractional Brownian motion. Zbl 0840.60076
Talagrand, Michel
1996
Multiple points of trajectories of multiparameter fractional Brownian motion. Zbl 0928.60026
Talagrand, Michel
1998
Regularity of infinitely divisible processes. Zbl 0776.60053
Talagrand, Michel
1993
Un nouveau $$C(K)$$ qui possède la propriété de Grothendieck. Zbl 0459.46018
Talagrand, Michel
1980
Sample boundedness of stochastic processes under increment conditions. Zbl 0703.60033
Talagrand, Michel
1990
An “isomorphic” version of the Sauer-Shelah lemma and the Banach-Mazur distance to the cube. Zbl 0674.46014
Szarek, S. J.; Talagrand, M.
1989
A sharp deviation inequality for the stochastic traveling salesman problem. Zbl 0682.68058
Rhee, WanSoo T.; Talagrand, Michel
1989
The generalized Parisi formula. Zbl 1030.60093
Talagrand, Michel
2003
Compacité extremale. Zbl 0435.46016
Bourgain, Jean; Talagrand, Michel
1980
Matching theorems and empirical discrepancy computations using majorizing measures. Zbl 0810.60036
Talagrand, M.
1994
Séparabilité vague dans l’espace des mesures sur un compact. Zbl 0445.46022
Talagrand, Michel
1980
Uniform convexity and the distribution of the norm for a Gaussian measure. Zbl 0554.60007
Rhee, WanSoo; Talagrand, Michel
1986
First class selectors for weakly upper semi-continuous multi-valued maps in Banach spaces. Zbl 0573.54012
Hansell, R. W.; Jayne, J. E.; Talagrand, Michel
1985
Exponential inequalities and convergence of moments in the replica-symmetric regime of the Hopfield model. Zbl 1043.82036
Talagrand, Michel
2000
Small tails for the supremum of a Gaussian process. Zbl 0641.60044
Talagrand, Michel
1988
Géométrie des simplexes de moyennes invariantes. (Geometry of simplexes of invariant mean.). Zbl 0431.43001
Talagrand, Michel
1979
Espaces de Banach représentables. Zbl 0498.46016
Godefroy, Gilles; Talagrand, Michel
1982
Fractional Brownian motion and packing dimension. Zbl 0860.60064
Talagrand, Michel; Xiao, Yimin
1996
A note on the selection of random variables under a sum constraint. Zbl 0749.60040
Rhee, Wansoo; Talagrand, Michel
1991
Majorizing measures without measures. Zbl 1019.60033
Talagrand, Michel
2001
On boundaries and influences. Zbl 0886.05110
Talagrand, M.
1997
Mean field models for spin glasses: some obnoxious problems. Zbl 1116.82031
Talagrand, Michel
2007
A simple example of pathological submeasure. Zbl 0444.28003
Talagrand, Michel
1980
Sur les espaces de Banach contenant $$l^ 1(\tau)$$. Zbl 0488.46016
Talagrand, Michel
1981
Sections of smooth convex bodies via majorizing measures. Zbl 0917.46006
Talagrand, Michel
1995
Comparison theorems, random geometry and some limit theorems for empirical processes. Zbl 0679.60048
Ledoux, M.; Talagrand, M.
1989
Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables. Zbl 0713.60005
Ledoux, M.; Talagrand, M.
1990
Cotype of operators from $$C(K)$$. Zbl 0788.47022
Talagrand, Michel
1992
Uniform bound in the central limit theorem for Banach space valued dependent random variables. Zbl 0606.60010
Rhee, WanSoo; Talagrand, Michel
1986
Bad rates of convergence for the central limit theorem in Hilbert space. Zbl 0545.60014
Rhee, WanSoo; Talagrand, Michel
1984
Les mesures vectorielles à valeurs dans $$L^ 0$$ sont bornées. Zbl 0482.28011
Talagrand, Michel
1981
A new type of affine Borel function. Zbl 0562.46005
Talagrand, Michel
1984
Sur une conjecture de H.H. Corson. Zbl 0317.46017
Talagrand, Michel
1976
Comparaison des boréliens d’un espace de Banach pour les topologies fortes et faibles. Zbl 0396.28007
Talagrand, Michel
1978
Sur l’intégrabilité des vecteurs gaussiens. Zbl 0529.60034
Talagrand, Michel
1984
The law of the iterated logarithm for empirical processes on Vapnik- Červonenkis classes. Zbl 0688.60021
Alexander, Kenneth S.; Talagrand, Michel
1989
Replica symmetry breaking and exponential inequalities for the Sherrington-Kirkpatrick model. Zbl 1034.82027
Talagrand, Michel
2000
Donsker classes of sets. Zbl 0628.60027
Talagrand, Michel
1988
On the distribution of the overlaps at given disorder. Zbl 1069.82007
Parisi, Giorgio; Talagrand, Michel
2004
Mean field models for spin glasses: a first course. Zbl 1042.82001
Talagrand, Michel
2003
Large deviations, Guerra’s and A.S.S. Schemes, and the Parisi hypothesis. Zbl 1133.82330
Talagrand, Michel
2007
Rigorous low-temperature results for the mean field $$p$$-spins interaction model. Zbl 1016.82021
Talagrand, Michel
2000
On the rate of clustering in Strassen’s LIL for Brownian motion. Zbl 0787.60040
Talagrand, Michel
1992
Huge random structures and mean field models for spin glasses. Zbl 0902.60089
Talagrand, Michel
1998
Sur la mesure de la projection d’un compact et certaines familles de cercles. Zbl 0437.28004
Talagrand, Michel
1980
Closed convex hull of sets of measurable functions, Riemann measurable functions and measurability of translations. Zbl 0452.28004
Talagrand, Michel
1982
Upper and lower bounds for stochastic processes. Decomposition theorems. 2nd edition. Zbl 1476.60003
Talagrand, Michel
2021
Scaling and non-standard matching theorems. (Mise à l’échelle et théorèmes d’appariement non-standard.) Zbl 1391.60039
Talagrand, Michel
2018
Upper and lower bounds for stochastic processes. Modern methods and classical problems. Zbl 1293.60001
Talagrand, Michel
2014
On T. Bartoszynski’s structure theorem for measurable filters. Zbl 1291.03086
Talagrand, Michel
2013
Chaining and the geometry of stochastic processes. Zbl 1364.60070
Talagrand, Michel
2013
Mean field models for spin glasses. Volume I: Basic examples. 2nd revised and enlarged ed. Zbl 1214.82002
Talagrand, Michel
2011
Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003
Ledoux, Michel; Talagrand, Michel
2011
Mean field models for spin glasses. Volume II: Advanced replica-symmetry and low temperature. 2nd revised and enlarged ed. Zbl 1232.82005
Talagrand, Michel
2011
Construction of pure states in mean field models for spin glasses. Zbl 1204.82037
Talagrand, Michel
2010
Are many small sets explicitly small? Zbl 1293.60014
Talagrand, Michel
2010
A general form of certain mean field models for SPIN glasses. Zbl 1152.82011
Talagrand, Michel
2009
Maharam’s problem. Zbl 1185.28002
Talagrand, Michel
2008
Rigorous construction of the pure states for certain spin glass models. Zbl 1149.82031
Talagrand, Michel
2008
On the overlap in the multiple spherical SK models. Zbl 1128.60086
Panchenko, Dmitry; Talagrand, Michel
2007
Mean field models for spin glasses: some obnoxious problems. Zbl 1116.82031
Talagrand, Michel
2007
Large deviations, Guerra’s and A.S.S. Schemes, and the Parisi hypothesis. Zbl 1133.82330
Talagrand, Michel
2007
On one property of Derrida-Ruelle cascades. Zbl 1131.82046
Panchenko, Dmitry; Talagrand, Michel
2007
The Parisi formula. Zbl 1137.82010
Talagrand, Michel
2006
Free energy of the spherical mean field model. Zbl 1130.82019
Talagrand, Michel
2006
Parisi measures. Zbl 1117.82025
Talagrand, Michel
2006
Maharam’s problem. Zbl 1099.28004
Talagrand, Michel
2006
Selector processes on classes of sets. Zbl 1097.60019
Talagrand, Michel
2006
The generic chaining. Upper and lower bounds of stochastic processes. Zbl 1075.60001
Talagrand, Michel
2005
Bounds for diluted mean-fields spin glass models. Zbl 1101.82041
Panchenko, Dmitry; Talagrand, Michel
2004
On the distribution of the overlaps at given disorder. Zbl 1069.82007
Parisi, Giorgio; Talagrand, Michel
2004
Type and infratype in symmetric sequence spaces. Zbl 1075.46011
Talagrand, Michel
2004
Spin glasses: A challenge for mathematicians. Cavity and mean field models. Zbl 1033.82002
Talagrand, Michel
2003
The generalized Parisi formula. Zbl 1030.60093
Talagrand, Michel
2003
Mean field models for spin glasses: a first course. Zbl 1042.82001
Talagrand, Michel
2003
On Guerra’s broken replica-symmetry bound. Zbl 1138.82326
Talagrand, Michel
2003
Vapnik-Chervonenkis type conditions and uniform Donsker classes of functions. Zbl 1044.60027
Talagrand, Michel
2003
On the meaning of Parisi’s functional order parameter. Zbl 1147.82336
Talagrand, Michel
2003
Self organization in the low temperature region of a spin glass model. Zbl 1134.82315
Talagrand, Michel
2003
An assignment problem at high temperature. Zbl 1035.82015
Talagrand, Michel
2003
On the high temperature phase of the Sherrington-Kirkpatrick model. Zbl 1046.82019
Talagrand, Michel
2002
Gaussian averages, Bernoulli averages, and Gibbs’ measures. Zbl 1014.60050
Talagrand, Michel
2002
On the Gaussian perceptron at high temperature. Zbl 1011.82013
Talagrand, Michel
2002
Majorizing measures without measures. Zbl 1019.60033
Talagrand, Michel
2001
Rigorous results for mean field models for spin glasses. Zbl 0982.82029
Talagrand, M.
2001
On the Hopfield model at the critical temperature. Zbl 1005.82016
Talagrand, Michel
2001
The high temperature case for the random $$K$$-sat problem. Zbl 0999.82045
Talagrand, Michel
2001
Exponential inequalities and convergence of moments in the replica-symmetric regime of the Hopfield model. Zbl 1043.82036
Talagrand, Michel
2000
Replica symmetry breaking and exponential inequalities for the Sherrington-Kirkpatrick model. Zbl 1034.82027
Talagrand, Michel
2000
Rigorous low-temperature results for the mean field $$p$$-spins interaction model. Zbl 1016.82021
Talagrand, Michel
2000
Intersecting random half-spaces: Toward the Gardner-Derrida formula. Zbl 1043.82030
Talagrand, Michel
2000
Multiple levels of symmetry breaking. Zbl 1036.82014
Talagrand, Michel
2000
Spin glasses: a new direction for probability theory? Zbl 1149.60324
Talagrand, Michel
2000
On the $$p$$-spin interaction model at low temperature. Zbl 0962.82084
Talagrand, Michel
2000
Large deviation principles and generalized Sherrington-Kirkpatrick models. Zbl 1165.82311
Talagrand, Michel
2000
The random weighted interval packing problem: The intermediate density case. Zbl 1073.90545
Rhee, Wansoo T.; Talagrand, Michel
2000
Self averaging and the space of interactions in neural networks. Zbl 0921.60098
Talagrand, Michel
1999
Concentration and influences. Zbl 0937.28004
Talagrand, Michel
1999
Intersecting random half cubes. Zbl 0936.60007
Talagrand, Michel
1999
Rigorous results for the Hopfield model with many patterns. Zbl 0897.60041
Talagrand, Michel
1998
The Sherrington-Kirkpatrick model: A challenge for mathematicians. Zbl 0909.60083
Talagrand, Michel
1998
Multiple points of trajectories of multiparameter fractional Brownian motion. Zbl 0928.60026
Talagrand, Michel
1998
Huge random structures and mean field models for spin glasses. Zbl 0902.60089
Talagrand, Michel
1998
Selecting a proportion of characters. Zbl 0942.46005
Talagrand, Michel
1998
Continuity conditions for a class of Gaussian chaos processes related to continuous additive functionals of Lévy processes. Zbl 0899.60034
Marcus, Michael B.; Talagrand, Michel
1998
A general lower bound for Gaussian chaos. Zbl 1002.60534
Talagrand, Michel
1998
On boundaries and influences. Zbl 0886.05110
Talagrand, M.
1997
On the convexified Sauer-Shelah theorem. Zbl 0868.05051
Szarek, Stanislaw J.; Talagrand, Michel
1997
New concentration inequalities in product spaces. Zbl 0893.60001
Talagrand, Michel
1996
Transportation cost for Gaussian and other product measures. Zbl 0859.46030
Talagrand, M.
1996
Majorizing measures: The generic chaining. Zbl 0867.60017
Talagrand, Michel
1996
A new look at independence. Zbl 0858.60019
Talagrand, Michel
1996
How much are increasing sets positively correlated? Zbl 0861.05008
Talagrand, Michel
1996
Lower classes for fractional Brownian motion. Zbl 0840.60076
Talagrand, Michel
1996
Fractional Brownian motion and packing dimension. Zbl 0860.60064
Talagrand, Michel; Xiao, Yimin
1996
The Glivenko-Cantelli problem, ten years later. Zbl 0880.60023
Talagrand, Michel
1996
Packing random intervals. Zbl 0855.60048
Rhee, WanSoo T.; Talagrand, Michel
1996
Applying a theorem of Fernique. Zbl 0869.60032
Talagrand, Michel
1996
Concentration of measure and isoperimetric inequalities in product spaces. Zbl 0864.60013
Talagrand, Michel
1995
Hausdorff measure of trajectories of multiparameter fractional Brownian motion. Zbl 0830.60034
Talagrand, Michel
1995
The missing factor in Hoeffding’s inequalities. Zbl 0837.60016
Talagrand, Michel
1995
Sections of smooth convex bodies via majorizing measures. Zbl 0917.46006
Talagrand, Michel
1995
Embedding of $$\ell^ \infty_ k$$ and a theorem of Alon and Milman. Zbl 0828.46010
Talagrand, M.
1995
Embedding subspaces of $$L_ p$$ in $$\ell^ N_ p$$. Zbl 0828.46011
Talagrand, M.
1995
Rigorous results for the Hopfield model. (Résultats rigoureux pour le modèle de Hopfield.) Zbl 0845.60102
Talagrand, Michel
1995
Are all sets of positive measure essentially convex? Zbl 0835.60003
Talagrand, M.
1995
A borderline random Fourier series. Zbl 0830.60035
Talagrand, Michel
1995
New “convexified” concentration inequalities. (Nouvelles inégalités de concentration “convexifiées”.) Zbl 0840.60023
Talagrand, Michel
1995
New concentration inequalities with $$q$$ points. (Nouvelles inégalités de concentration à $$q$$ points.) Zbl 0846.60016
Talagrand, Michel
1995
Sharper bounds for Gaussian and empirical processes. Zbl 0798.60051
Talagrand, M.
1994
On Russo’s approximate zero-one law. Zbl 0819.28002
Talagrand, Michel
1994
The small ball problem for the Brownian sheet. Zbl 0835.60031
Talagrand, Michel
1994
The supremum of some canonical processes. Zbl 0798.60040
Talagrand, Michel
1994
The transportation cost from the uniform measure to the empirical measure in dimension $$\geq 3$$. Zbl 0809.60015
Talagrand, M.
1994
Lim inf results for Gaussian samples and Chung’s functional LIL. Zbl 0849.60022
Kuelbs, James; Li, Wenbo V.; Talagrand, Michel
1994
Matching theorems and empirical discrepancy computations using majorizing measures. Zbl 0810.60036
Talagrand, M.
1994
Constructions of majorizing measures, Bernoulli processes and cotype. Zbl 0813.60005
Talagrand, M.
1994
Some remarks on the Berg-Kesten inequality. Zbl 0807.60023
Talagrand, M.
1994
Orlicz property and cotype in symmetric sequence spaces. Zbl 0835.46015
Talagrand, Michel
1994
New Gaussian estimates for enlarged balls. Zbl 0815.46021
Talagrand, M.
1993
Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis’ graph connectivity theorem. Zbl 0806.46035
Talagrand, M.
1993
Regularity of infinitely divisible processes. Zbl 0776.60053
Talagrand, Michel
1993
The integrability of the square exponential transportation cost. Zbl 0784.60014
Talagrand, M.; Yukich, J. E.
1993
Dual bin packing with items of random sizes. Zbl 0780.90074
Rhee, WanSoo T.; Talagrand, Michel
1993
On line bin packing with items of random size. Zbl 0778.90046
Rhee, Wansoo T.; Talagrand, Michel
1993
On-line bin packing of items of random sizes. II. Zbl 0793.90044
Rhee, Wansoo T.; Talagrand, Michel
1993
...and 151 more Documents
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### Cited by 3,250 Authors

 92 Talagrand, Michel 48 Mendelson, Shahar 37 Xiao, Yimin 35 Panchenko, Dmitry 27 Chen, Wei-Kuo 26 Rodríguez Ruiz, José 24 Bobkov, Sergey Germanovich 24 Giné-Masdéu, Evarist 22 Chatterjee, Sourav 20 Ferrando, Juan Carlos 19 Adamczak, Radosław 19 Barra, Adriano 19 Li, Deli 19 Lugosi, Gábor 19 Plebanek, Grzegorz 19 Račkauskas, Alfredas Yurgevich 19 Spurný, Jiří 18 Comte, Fabienne 18 Vershynin, Roman 17 Godefroy, Gilles 17 Kąkol, Jerzy 17 Kuelbs, James D. 17 Ledoux, Michel 17 Naor, Assaf 17 Rhee, Wansoo T. 17 Van de Geer, Sara Anna 16 Bednorz, Witold Marek 16 Cascales, Bernardo 16 Lecué, Guillaume 16 Li, Wenbo V. 16 Nickl, Richard 16 Rauhut, Holger 15 Chen, Pingyan 15 Kolchinskiĭ, Vladimir I’ich 15 Mason, David M. 15 Rosalsky, Andrew 14 Auffinger, Antonio 14 Gozlan, Nathael 14 Jagannath, Aukosh 14 Latała, Rafał 14 Todorcevic, Stevo B. 13 Bentkus, Vidmants-Kastytis 13 Coja-Oghlan, Amin 13 Dembo, Amir 13 Götze, Friedrich 13 Löwe, Matthias 13 Mossel, Elchanan 13 Musial, Kazimierz 13 Zinn, Joel 12 Arcones, Miguel A. 12 Houdré, Christian 12 Kalenda, Ondřej F. K. 12 López Pellicer, Manuel 12 Roberto, Cyril 12 Tomczak-Jaegermann, Nicole 12 Vũ Hà Văn 11 Keller, Nathan 11 Zhang, Li-Xin 10 Barthe, Franck 10 Contucci, Pierluigi 10 Guédon, Olivier 10 Guerra, Francesco 10 Guillin, Arnaud 10 Kalai, Gil 10 Lin, Zhengyan 10 Marciszewski, Witold 10 Merlevède, Florence 10 Schechtman, Gideon 10 Tropp, Joel A. 10 Volodin, Andrei I. 9 Aviles Lopez, Antonio 9 Bovier, Anton 9 Einmahl, Uwe 9 Eldan, Ronen 9 Kahn, Jeff D. 9 Kato, Kengo 9 Pajor, Alain 9 Paouris, Grigoris 9 Peccati, Giovanni 9 Peres, Yuval 9 Rudelson, Mark 9 Samson, Paul-Marie 9 Shao, Qi-Man 9 van Neerven, Jan M. A. M. 9 Veraar, Mark C. 9 Zhivotovskiy, Nikita 8 Agliari, Elena 8 Arguin, Louis-Pierre 8 Argyros, Spiros A. 8 Ben Arous, Gérard 8 Chen, Zhenlong 8 Ding, Jian 8 Dodos, Pandelis 8 Glasner, Eli 8 Lifshits, Mikhail A. 8 Linde, Werner 8 Massart, Pascal 8 Paulauskas, Vygantas Ionovič 8 Schwab, Christoph 8 Semënov, Evgeniĭ Mikhaĭlovich ...and 3,150 more Authors
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### Cited in 418 Serials

 171 The Annals of Probability 155 Probability Theory and Related Fields 124 Stochastic Processes and their Applications 106 Statistics & Probability Letters 97 The Annals of Statistics 97 Journal of Functional Analysis 95 Journal of Statistical Physics 95 Proceedings of the American Mathematical Society 91 Journal of Theoretical Probability 84 Journal of Mathematical Analysis and Applications 78 Israel Journal of Mathematics 74 Topology and its Applications 72 Bernoulli 61 Electronic Journal of Statistics 54 The Annals of Applied Probability 50 Transactions of the American Mathematical Society 47 Communications in Mathematical Physics 45 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 37 Comptes Rendus. Mathématique. Académie des Sciences, Paris 34 Advances in Mathematics 31 Journal of Multivariate Analysis 30 Lithuanian Mathematical Journal 30 Electronic Journal of Probability 29 Journal of Mathematical Sciences (New York) 27 Journal of Mathematical Physics 27 Mathematische Annalen 27 Random Structures & Algorithms 24 Journal of Complexity 23 Rocky Mountain Journal of Mathematics 21 Journal of Statistical Planning and Inference 20 Mathematical Notes 20 Czechoslovak Mathematical Journal 20 Journal of Machine Learning Research (JMLR) 19 Potential Analysis 19 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 19 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 18 Bulletin of the Australian Mathematical Society 18 Acta Mathematica Sinica. English Series 17 Discrete & Computational Geometry 17 Applied and Computational Harmonic Analysis 17 The Journal of Fourier Analysis and Applications 16 Stochastic Analysis and Applications 16 Combinatorics, Probability and Computing 16 Electronic Communications in Probability 14 Archiv der Mathematik 14 Journal of Approximation Theory 14 Mathematische Zeitschrift 14 Theoretical Computer Science 14 Positivity 13 Mathematika 13 Geometric and Functional Analysis. GAFA 13 Mathematical Programming. Series A. Series B 13 Mathematical Methods of Statistics 13 Foundations of Computational Mathematics 12 Discrete Applied Mathematics 12 Inventiones Mathematicae 12 Journal of Applied Probability 12 The Journal of Symbolic Logic 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Annales de l’Institut Fourier 11 Monatshefte für Mathematik 11 Acta Mathematica Hungarica 11 Annals of Pure and Applied Logic 11 Annals of Mathematics. Second Series 10 Glasgow Mathematical Journal 10 Acta Applicandae Mathematicae 10 Acta Mathematicae Applicatae Sinica. English Series 10 Stochastics 9 Annals of the Institute of Statistical Mathematics 9 SIAM Journal on Computing 9 Operations Research Letters 9 Test 8 Advances in Applied Probability 8 Journal of Combinatorial Theory. Series B 8 Quaestiones Mathematicae 8 Journal of the American Mathematical Society 8 Neural Computation 8 Communications in Statistics. Theory and Methods 8 Archive for Mathematical Logic 8 Journal of Nonparametric Statistics 8 ALEA. Latin American Journal of Probability and Mathematical Statistics 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Studia Mathematica 7 Acta Mathematica 7 Functiones et Approximatio. Commentarii Mathematici 7 Journal of Econometrics 7 Results in Mathematics 7 Bulletin of the American Mathematical Society. New Series 7 SIAM Journal on Optimization 7 Theory of Probability and Mathematical Statistics 7 The Electronic Journal of Combinatorics 7 Journal of Statistical Mechanics: Theory and Experiment 7 Sankhyā. Series A 7 SIAM Journal on Mathematics of Data Science 6 Mathematics of Computation 6 Theory of Probability and its Applications 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Fundamenta Mathematicae 6 Journal of Combinatorial Theory. Series A 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods ...and 318 more Serials
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### Cited in 58 Fields

 1,799 Probability theory and stochastic processes (60-XX) 689 Functional analysis (46-XX) 634 Statistics (62-XX) 417 Statistical mechanics, structure of matter (82-XX) 259 Measure and integration (28-XX) 240 General topology (54-XX) 214 Computer science (68-XX) 208 Combinatorics (05-XX) 166 Operator theory (47-XX) 144 Operations research, mathematical programming (90-XX) 139 Numerical analysis (65-XX) 129 Mathematical logic and foundations (03-XX) 103 Information and communication theory, circuits (94-XX) 98 Real functions (26-XX) 97 Linear and multilinear algebra; matrix theory (15-XX) 94 Partial differential equations (35-XX) 90 Convex and discrete geometry (52-XX) 89 Harmonic analysis on Euclidean spaces (42-XX) 62 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 52 Approximations and expansions (41-XX) 50 Dynamical systems and ergodic theory (37-XX) 50 Abstract harmonic analysis (43-XX) 49 Quantum theory (81-XX) 41 Global analysis, analysis on manifolds (58-XX) 38 Order, lattices, ordered algebraic structures (06-XX) 35 Topological groups, Lie groups (22-XX) 34 Biology and other natural sciences (92-XX) 31 Number theory (11-XX) 23 Sequences, series, summability (40-XX) 23 Differential geometry (53-XX) 23 Systems theory; control (93-XX) 20 Functions of a complex variable (30-XX) 18 Ordinary differential equations (34-XX) 18 Difference and functional equations (39-XX) 9 History and biography (01-XX) 9 Integral equations (45-XX) 9 Geometry (51-XX) 8 Potential theory (31-XX) 8 Special functions (33-XX) 7 General and overarching topics; collections (00-XX) 7 Group theory and generalizations (20-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Algebraic topology (55-XX) 6 Fluid mechanics (76-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of particles and systems (70-XX) 5 Mechanics of deformable solids (74-XX) 4 Manifolds and cell complexes (57-XX) 3 Algebraic geometry (14-XX) 2 Geophysics (86-XX) 1 (04-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

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