Edit Profile (opens in new tab) Talagrand, Michel Co-Author Distance Author ID: talagrand.michel Published as: Talagrand, Michel; Talagrand, M. External Links: MGP · Wikidata · dblp · GND · IdRef Awards: Shaw Prize (2019) Documents Indexed: 306 Publications since 1975, including 10 Books and 1 Additional arXiv Preprint 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 32 Co-Authors with 81 Joint Publications 1,052 Co-Co-Authors all top 5 Co-Authors 227 single-authored 31 Rhee, Wansoo T. 8 Ledoux, Michel 7 Fremlin, David H. 4 Ghoussoub, Nassif A. 4 Panchenko, Dmitry 3 Bourgain, Jean 3 Godefroy, Gilles 3 Marcus, Michael B. 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 Lindenstrauss, Naomi 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 all top 5 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 Random Structures & Algorithms 4 The Annals of Applied Probability 3 American Journal of Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Mathematika 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 all top 5 Fields 165 Probability theory and stochastic processes (60-XX) 100 Functional analysis (46-XX) 75 Measure and integration (28-XX) 45 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) 8 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 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 256 Publications have been cited 5,588 times in 3,864 Documents Cited by ▼ Year ▼ Probability in Banach spaces. Isoperimetry and processes. Zbl 0748.60004 Ledoux, Michel; Talagrand, Michel 868 1991 Concentration of measure and isoperimetric inequalities in product spaces. Zbl 0864.60013 Talagrand, Michel 282 1995 The Parisi formula. Zbl 1137.82010 Talagrand, Michel 190 2006 New concentration inequalities in product spaces. Zbl 0893.60001 Talagrand, Michel 189 1996 Transportation cost for Gaussian and other product measures. Zbl 0859.46030 Talagrand, M. 177 1996 Sharper bounds for Gaussian and empirical processes. Zbl 0798.60051 Talagrand, M. 175 1994 Spin glasses: A challenge for mathematicians. Cavity and mean field models. Zbl 1033.82002 Talagrand, Michel 157 2003 Mean field models for spin glasses. Volume I: Basic examples. 2nd revised and enlarged ed. Zbl 1214.82002 Talagrand, Michel 157 2011 Upper and lower bounds for stochastic processes. Modern methods and classical problems. Zbl 1293.60001 Talagrand, Michel 149 2014 The generic chaining. Upper and lower bounds of stochastic processes. Zbl 1075.60001 Talagrand, Michel 134 2005 Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003 Ledoux, Michel; Talagrand, Michel 126 2011 Pettis integral and measure theory. Zbl 0582.46049 Talagrand, Michel 108 1984 Espaces de Banachs faiblement K-analytiques. Zbl 0393.46019 Talagrand, Michel 108 1979 Characterization of the law of the iterated logarithm in Banach spaces. Zbl 0662.60008 Ledoux, M.; Talagrand, M. 107 1988 Regularity of Gaussian processes. Zbl 0712.60044 Talagrand, Michel 98 1987 Pointwise compact sets of Baire-measurable functions. Zbl 0413.54016 Bourgain, Jean; Fremlin, David H.; Talagrand, Michel 98 1978 On Russo’s approximate zero-one law. Zbl 0819.28002 Talagrand, Michel 90 1994 Free energy of the spherical mean field model. Zbl 1130.82019 Talagrand, Michel 71 2006 Majorizing measures: The generic chaining. Zbl 0867.60017 Talagrand, Michel 70 1996 A new look at independence. Zbl 0858.60019 Talagrand, Michel 70 1996 Compacts de fonctions mesurables et filtres non mesurables. Zbl 0435.46023 Talagrand, Michel 64 1980 Hausdorff measure of trajectories of multiparameter fractional Brownian motion. Zbl 0830.60034 Talagrand, Michel 55 1995 Weak Cauchy sequences in \(L^ 1(E)\). Zbl 0579.46025 Talagrand, Michel 46 1984 Bounds for diluted mean-fields spin glass models. Zbl 1101.82041 Panchenko, Dmitry; Talagrand, Michel 46 2004 The Glivenko-Cantelli problem. Zbl 0632.60024 Talagrand, Michel 43 1987 A new isoperimetric inequality and the concentration of measure phenomenon. Zbl 0818.46047 Talagrand, Michel 40 1991 Mean field models for spin glasses. Volume II: Advanced replica-symmetry and low temperature. 2nd revised and enlarged ed. Zbl 1232.82005 Talagrand, Michel 37 2011 The small ball problem for the Brownian sheet. Zbl 0835.60031 Talagrand, Michel 37 1994 A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means. Zbl 0393.28005 Fremlin, David H.; Talagrand, Michel 37 1979 An isoperimetric theorem on the cube and the Kintchine-Kahane inequalities. Zbl 0691.60015 Talagrand, Michel 34 1988 Rigorous results for the Hopfield model with many patterns. Zbl 0897.60041 Talagrand, Michel 33 1998 Construction of pure states in mean field models for spin glasses. Zbl 1204.82037 Talagrand, Michel 33 2010 Matching random samples in many dimensions. Zbl 0761.60007 Talagrand, Michel 31 1992 The transportation cost from the uniform measure to the empirical measure in dimension \(\geq 3\). Zbl 0809.60015 Talagrand, M. 31 1994 New Gaussian estimates for enlarged balls. Zbl 0815.46021 Talagrand, M. 29 1993 The supremum of some canonical processes. Zbl 0798.60040 Talagrand, Michel 29 1994 On the overlap in the multiple spherical SK models. Zbl 1128.60086 Panchenko, Dmitry; Talagrand, Michel 28 2007 Lim inf results for Gaussian samples and Chung’s functional LIL. Zbl 0849.60022 Kuelbs, James; Li, Wenbo V.; Talagrand, Michel 28 1994 Parisi measures. Zbl 1117.82025 Talagrand, Michel 28 2006 Maharam’s problem. Zbl 1185.28002 Talagrand, Michel 28 2008 Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis’ graph connectivity theorem. Zbl 0806.46035 Talagrand, M. 27 1993 Embedding subspaces of \(L_ 1\) into \(\ell ^ N_ 1\). Zbl 0723.46012 Talagrand, Michel 25 1990 How much are increasing sets positively correlated? Zbl 0861.05008 Talagrand, Michel 25 1996 The Sherrington-Kirkpatrick model: A challenge for mathematicians. Zbl 0909.60083 Talagrand, Michel 24 1998 The missing factor in Hoeffding’s inequalities. Zbl 0837.60016 Talagrand, Michel 23 1995 Renormages de quelques \({\mathcal C}(K)\). (Renormings of some \({\mathcal C}(K)\) spaces). Zbl 0611.46023 Talagrand, Michel 23 1986 Continuity of \(\ell ^ 2\)-valued Ornstein-Uhlenbeck processes. Zbl 0699.60052 Iscoe, I.; Marcus, M. B.; McDonald, D.; Talagrand, M.; Zinn, J. 23 1990 Isoperimetry and integrability of the sum of independent Banach-space valued random variables. Zbl 0692.60016 Talagrand, Michel 22 1989 La propriété de Dunford-Pettis dans \(C(K,E)\) et \(L^ 1(E)\). Zbl 0523.46015 Talagrand, Michel 21 1983 A new countably determined Banach space. Zbl 0537.46019 Talagrand, Michel 21 1984 Espaces de Baire et espaces de Namioka. Zbl 0582.54008 Talagrand, Michel 21 1985 Un nouveau \(C(K)\) qui possède la propriété de Grothendieck. Zbl 0459.46018 Talagrand, Michel 21 1980 Martingale inequalities and NP-complete problems. Zbl 0718.60040 Rhee, WanSoo T.; Talagrand, Michel 20 1987 Multiple points of trajectories of multiparameter fractional Brownian motion. Zbl 0928.60026 Talagrand, Michel 19 1998 Deux generalisations d’un theoreme de I. Namioka. (Two generalisations of a theorem of I. Namioka). Zbl 0367.54004 Talagrand, Michel 19 1979 Lower classes for fractional Brownian motion. Zbl 0840.60076 Talagrand, Michel 18 1996 Cotype and \((q,1)\)-summing norm in a Banach space. Zbl 0814.46010 Talagrand, Michel 18 1992 Sample boundedness of stochastic processes under increment conditions. Zbl 0703.60033 Talagrand, Michel 17 1990 Are many small sets explicitly small? Zbl 1293.60014 Talagrand, Michel 17 2010 Compacité extremale. Zbl 0435.46016 Bourgain, Jean; Talagrand, Michel 16 1980 Regularity of infinitely divisible processes. Zbl 0776.60053 Talagrand, Michel 16 1993 An “isomorphic” version of the Sauer-Shelah lemma and the Banach-Mazur distance to the cube. Zbl 0674.46014 Szarek, S. J.; Talagrand, M. 15 1989 A sharp deviation inequality for the stochastic traveling salesman problem. Zbl 0682.68058 Rhee, WanSoo T.; Talagrand, Michel 15 1989 Matching theorems and empirical discrepancy computations using majorizing measures. Zbl 0810.60036 Talagrand, M. 15 1994 The generalized Parisi formula. Zbl 1030.60093 Talagrand, Michel 15 2003 Sur les espaces de Banach contenant \(l^ 1(\tau)\). Zbl 0488.46016 Talagrand, Michel 14 1981 Rigorous low-temperature results for the mean field \(p\)-spins interaction model. Zbl 1016.82021 Talagrand, Michel 14 2000 Exponential inequalities and convergence of moments in the replica-symmetric regime of the Hopfield model. Zbl 1043.82036 Talagrand, Michel 14 2000 Small tails for the supremum of a Gaussian process. Zbl 0641.60044 Talagrand, Michel 13 1988 Espaces de Banach représentables. Zbl 0498.46016 Godefroy, Gilles; Talagrand, Michel 13 1982 Uniform convexity and the distribution of the norm for a Gaussian measure. Zbl 0554.60007 Rhee, WanSoo; Talagrand, Michel 13 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 13 1985 Séparabilité vague dans l’espace des mesures sur un compact. Zbl 0445.46022 Talagrand, Michel 13 1980 Majorizing measures without measures. Zbl 1019.60033 Talagrand, Michel 13 2001 A note on the selection of random variables under a sum constraint. Zbl 0749.60040 Rhee, Wansoo; Talagrand, Michel 12 1991 Sections of smooth convex bodies via majorizing measures. Zbl 0917.46006 Talagrand, Michel 12 1995 Géométrie des simplexes de moyennes invariantes. (Geometry of simplexes of invariant mean.). Zbl 0431.43001 Talagrand, Michel 12 1979 Fractional Brownian motion and packing dimension. Zbl 0860.60064 Talagrand, Michel; Xiao, Yimin 12 1996 Comparison theorems, random geometry and some limit theorems for empirical processes. Zbl 0679.60048 Ledoux, M.; Talagrand, M. 11 1989 Mean field models for spin glasses: some obnoxious problems. Zbl 1116.82031 Talagrand, Michel 11 2007 Les mesures vectorielles à valeurs dans \(L^ 0\) sont bornées. Zbl 0482.28011 Talagrand, Michel 11 1981 Bad rates of convergence for the central limit theorem in Hilbert space. Zbl 0545.60014 Rhee, WanSoo; Talagrand, Michel 11 1984 The law of the iterated logarithm for empirical processes on Vapnik- Červonenkis classes. Zbl 0688.60021 Alexander, Kenneth S.; Talagrand, Michel 11 1989 Uniform bound in the central limit theorem for Banach space valued dependent random variables. Zbl 0606.60010 Rhee, WanSoo; Talagrand, Michel 11 1986 On boundaries and influences. Zbl 0886.05110 Talagrand, M. 11 1997 Some applications of isoperimetric methods to strong limit theorems for sums of independent random variables. Zbl 0713.60005 Ledoux, M.; Talagrand, M. 11 1990 Cotype of operators from \(C(K)\). Zbl 0788.47022 Talagrand, Michel 11 1992 A simple example of pathological submeasure. Zbl 0444.28003 Talagrand, Michel 11 1980 Replica symmetry breaking and exponential inequalities for the Sherrington-Kirkpatrick model. Zbl 1034.82027 Talagrand, Michel 11 2000 Donsker classes of sets. Zbl 0628.60027 Talagrand, Michel 10 1988 Large deviations, Guerra’s and A.S.S. Schemes, and the Parisi hypothesis. Zbl 1133.82330 Talagrand, Michel 10 2007 Sur l’intégrabilité des vecteurs gaussiens. Zbl 0529.60034 Talagrand, Michel 10 1984 A new type of affine Borel function. Zbl 0562.46005 Talagrand, Michel 10 1984 On the distribution of the overlaps at given disorder. Zbl 1069.82007 Parisi, Giorgio; Talagrand, Michel 10 2004 Sur une conjecture de H.H. Corson. Zbl 0317.46017 Talagrand, Michel 10 1976 Comparaison des boréliens d’un espace de Banach pour les topologies fortes et faibles. Zbl 0396.28007 Talagrand, Michel 10 1978 The integrability of the square exponential transportation cost. Zbl 0784.60014 Talagrand, M.; Yukich, J. E. 10 1993 Donsker classes and random geometry. Zbl 0637.60040 Talagrand, Michel 9 1987 Huge random structures and mean field models for spin glasses. Zbl 0902.60089 Talagrand, Michel 9 1998 Scaling and non-standard matching theorems. (Mise à l’échelle et théorèmes d’appariement non-standard.) Zbl 1391.60039 Talagrand, Michel 9 2018 Upper and lower bounds for stochastic processes. Decomposition theorems. 2nd edition. Zbl 1476.60003 Talagrand, Michel 7 2021 Scaling and non-standard matching theorems. (Mise à l’échelle et théorèmes d’appariement non-standard.) Zbl 1391.60039 Talagrand, Michel 9 2018 A mean-field spin glass model based on diluted \(V\)-statistics. Zbl 1347.60134 Talagrand, Michel 1 2016 Upper and lower bounds for stochastic processes. Modern methods and classical problems. Zbl 1293.60001 Talagrand, Michel 149 2014 On T. Bartoszynski’s structure theorem for measurable filters. Zbl 1291.03086 Talagrand, Michel 3 2013 Chaining and the geometry of stochastic processes. Zbl 1364.60070 Talagrand, Michel 2 2013 Mean field models for spin glasses. Volume I: Basic examples. 2nd revised and enlarged ed. Zbl 1214.82002 Talagrand, Michel 157 2011 Probability in Banach spaces. Isoperimetry and processes. Reprint of the 1991 hardback ed. Zbl 1226.60003 Ledoux, Michel; Talagrand, Michel 126 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 37 2011 Construction of pure states in mean field models for spin glasses. Zbl 1204.82037 Talagrand, Michel 33 2010 Are many small sets explicitly small? Zbl 1293.60014 Talagrand, Michel 17 2010 A general form of certain mean field models for SPIN glasses. Zbl 1152.82011 Talagrand, Michel 4 2009 Maharam’s problem. Zbl 1185.28002 Talagrand, Michel 28 2008 Rigorous construction of the pure states for certain spin glass models. Zbl 1149.82031 Talagrand, Michel 2 2008 On the overlap in the multiple spherical SK models. Zbl 1128.60086 Panchenko, Dmitry; Talagrand, Michel 28 2007 Mean field models for spin glasses: some obnoxious problems. Zbl 1116.82031 Talagrand, Michel 11 2007 Large deviations, Guerra’s and A.S.S. Schemes, and the Parisi hypothesis. Zbl 1133.82330 Talagrand, Michel 10 2007 On one property of Derrida-Ruelle cascades. Zbl 1131.82046 Panchenko, Dmitry; Talagrand, Michel 8 2007 The Parisi formula. Zbl 1137.82010 Talagrand, Michel 190 2006 Free energy of the spherical mean field model. Zbl 1130.82019 Talagrand, Michel 71 2006 Parisi measures. Zbl 1117.82025 Talagrand, Michel 28 2006 Maharam’s problem. Zbl 1099.28004 Talagrand, Michel 7 2006 Selector processes on classes of sets. Zbl 1097.60019 Talagrand, Michel 4 2006 The generic chaining. Upper and lower bounds of stochastic processes. Zbl 1075.60001 Talagrand, Michel 134 2005 Bounds for diluted mean-fields spin glass models. Zbl 1101.82041 Panchenko, Dmitry; Talagrand, Michel 46 2004 On the distribution of the overlaps at given disorder. Zbl 1069.82007 Parisi, Giorgio; Talagrand, Michel 10 2004 Type and infratype in symmetric sequence spaces. Zbl 1075.46011 Talagrand, Michel 2 2004 Spin glasses: A challenge for mathematicians. Cavity and mean field models. Zbl 1033.82002 Talagrand, Michel 157 2003 The generalized Parisi formula. Zbl 1030.60093 Talagrand, Michel 15 2003 Mean field models for spin glasses: a first course. Zbl 1042.82001 Talagrand, Michel 9 2003 On Guerra’s broken replica-symmetry bound. Zbl 1138.82326 Talagrand, Michel 8 2003 On the meaning of Parisi’s functional order parameter. Zbl 1147.82336 Talagrand, Michel 5 2003 Vapnik-Chervonenkis type conditions and uniform Donsker classes of functions. Zbl 1044.60027 Talagrand, Michel 5 2003 Self organization in the low temperature region of a spin glass model. Zbl 1134.82315 Talagrand, Michel 1 2003 An assignment problem at high temperature. Zbl 1035.82015 Talagrand, Michel 1 2003 On the high temperature phase of the Sherrington-Kirkpatrick model. Zbl 1046.82019 Talagrand, Michel 5 2002 Gaussian averages, Bernoulli averages, and Gibbs’ measures. Zbl 1014.60050 Talagrand, Michel 4 2002 On the Gaussian perceptron at high temperature. Zbl 1011.82013 Talagrand, Michel 2 2002 Majorizing measures without measures. Zbl 1019.60033 Talagrand, Michel 13 2001 The high temperature case for the random \(K\)-sat problem. Zbl 0999.82045 Talagrand, Michel 7 2001 Rigorous results for mean field models for spin glasses. Zbl 0982.82029 Talagrand, M. 5 2001 On the Hopfield model at the critical temperature. Zbl 1005.82016 Talagrand, Michel 3 2001 Rigorous low-temperature results for the mean field \(p\)-spins interaction model. Zbl 1016.82021 Talagrand, Michel 14 2000 Exponential inequalities and convergence of moments in the replica-symmetric regime of the Hopfield model. Zbl 1043.82036 Talagrand, Michel 14 2000 Replica symmetry breaking and exponential inequalities for the Sherrington-Kirkpatrick model. Zbl 1034.82027 Talagrand, Michel 11 2000 Intersecting random half-spaces: Toward the Gardner-Derrida formula. Zbl 1043.82030 Talagrand, Michel 6 2000 Multiple levels of symmetry breaking. Zbl 1036.82014 Talagrand, Michel 3 2000 On the \(p\)-spin interaction model at low temperature. Zbl 0962.82084 Talagrand, Michel 2 2000 Spin glasses: a new direction for probability theory? Zbl 1149.60324 Talagrand, Michel 2 2000 Large deviation principles and generalized Sherrington-Kirkpatrick models. Zbl 1165.82311 Talagrand, Michel 1 2000 The random weighted interval packing problem: The intermediate density case. Zbl 1073.90545 Rhee, Wansoo T.; Talagrand, Michel 1 2000 Intersecting random half cubes. Zbl 0936.60007 Talagrand, Michel 3 1999 Self averaging and the space of interactions in neural networks. Zbl 0921.60098 Talagrand, Michel 3 1999 Concentration and influences. Zbl 0937.28004 Talagrand, Michel 1 1999 Rigorous results for the Hopfield model with many patterns. Zbl 0897.60041 Talagrand, Michel 33 1998 The Sherrington-Kirkpatrick model: A challenge for mathematicians. Zbl 0909.60083 Talagrand, Michel 24 1998 Multiple points of trajectories of multiparameter fractional Brownian motion. Zbl 0928.60026 Talagrand, Michel 19 1998 Huge random structures and mean field models for spin glasses. Zbl 0902.60089 Talagrand, Michel 9 1998 Selecting a proportion of characters. Zbl 0942.46005 Talagrand, Michel 6 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 1 1998 A general lower bound for Gaussian chaos. Zbl 1002.60534 Talagrand, Michel 1 1998 On boundaries and influences. Zbl 0886.05110 Talagrand, M. 11 1997 On the convexified Sauer-Shelah theorem. Zbl 0868.05051 Szarek, Stanislaw J.; Talagrand, Michel 2 1997 New concentration inequalities in product spaces. Zbl 0893.60001 Talagrand, Michel 189 1996 Transportation cost for Gaussian and other product measures. Zbl 0859.46030 Talagrand, M. 177 1996 Majorizing measures: The generic chaining. Zbl 0867.60017 Talagrand, Michel 70 1996 A new look at independence. Zbl 0858.60019 Talagrand, Michel 70 1996 How much are increasing sets positively correlated? Zbl 0861.05008 Talagrand, Michel 25 1996 Lower classes for fractional Brownian motion. Zbl 0840.60076 Talagrand, Michel 18 1996 Fractional Brownian motion and packing dimension. Zbl 0860.60064 Talagrand, Michel; Xiao, Yimin 12 1996 The Glivenko-Cantelli problem, ten years later. Zbl 0880.60023 Talagrand, Michel 9 1996 Packing random intervals. Zbl 0855.60048 Rhee, WanSoo T.; Talagrand, Michel 4 1996 Applying a theorem of Fernique. Zbl 0869.60032 Talagrand, Michel 4 1996 Concentration of measure and isoperimetric inequalities in product spaces. Zbl 0864.60013 Talagrand, Michel 282 1995 Hausdorff measure of trajectories of multiparameter fractional Brownian motion. Zbl 0830.60034 Talagrand, Michel 55 1995 The missing factor in Hoeffding’s inequalities. Zbl 0837.60016 Talagrand, Michel 23 1995 Sections of smooth convex bodies via majorizing measures. Zbl 0917.46006 Talagrand, Michel 12 1995 Embedding of \(\ell^ \infty_ k\) and a theorem of Alon and Milman. Zbl 0828.46010 Talagrand, M. 6 1995 Embedding subspaces of \(L_ p\) in \(\ell^ N_ p\). Zbl 0828.46011 Talagrand, M. 6 1995 Are all sets of positive measure essentially convex? Zbl 0835.60003 Talagrand, M. 4 1995 Rigorous results for the Hopfield model. (Résultats rigoureux pour le modèle de Hopfield.) Zbl 0845.60102 Talagrand, Michel 3 1995 A borderline random Fourier series. Zbl 0830.60035 Talagrand, Michel 1 1995 New “convexified” concentration inequalities. (Nouvelles inégalités de concentration “convexifiées”.) Zbl 0840.60023 Talagrand, Michel 1 1995 New concentration inequalities with \(q\) points. (Nouvelles inégalités de concentration à \(q\) points.) Zbl 0846.60016 Talagrand, Michel 1 1995 Sharper bounds for Gaussian and empirical processes. Zbl 0798.60051 Talagrand, M. 175 1994 On Russo’s approximate zero-one law. Zbl 0819.28002 Talagrand, Michel 90 1994 The small ball problem for the Brownian sheet. Zbl 0835.60031 Talagrand, Michel 37 1994 The transportation cost from the uniform measure to the empirical measure in dimension \(\geq 3\). Zbl 0809.60015 Talagrand, M. 31 1994 The supremum of some canonical processes. Zbl 0798.60040 Talagrand, Michel 29 1994 Lim inf results for Gaussian samples and Chung’s functional LIL. Zbl 0849.60022 Kuelbs, James; Li, Wenbo V.; Talagrand, Michel 28 1994 Matching theorems and empirical discrepancy computations using majorizing measures. Zbl 0810.60036 Talagrand, M. 15 1994 Constructions of majorizing measures, Bernoulli processes and cotype. Zbl 0813.60005 Talagrand, M. 6 1994 Some remarks on the Berg-Kesten inequality. Zbl 0807.60023 Talagrand, M. 4 1994 Orlicz property and cotype in symmetric sequence spaces. Zbl 0835.46015 Talagrand, Michel 1 1994 New Gaussian estimates for enlarged balls. Zbl 0815.46021 Talagrand, M. 29 1993 Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis’ graph connectivity theorem. Zbl 0806.46035 Talagrand, M. 27 1993 Regularity of infinitely divisible processes. Zbl 0776.60053 Talagrand, Michel 16 1993 The integrability of the square exponential transportation cost. Zbl 0784.60014 Talagrand, M.; Yukich, J. E. 10 1993 Dual bin packing with items of random sizes. Zbl 0780.90074 Rhee, WanSoo T.; Talagrand, Michel 2 1993 On line bin packing with items of random size. Zbl 0778.90046 Rhee, Wansoo T.; Talagrand, Michel 1 1993 ...and 156 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,637 Authors 92 Talagrand, Michel 51 Mendelson, Shahar 40 Xiao, Yimin 36 Panchenko, Dmitry 30 Chen, Wei-Kuo 29 Rodríguez Ruiz, José 24 Bobkov, Sergey Germanovich 24 Giné-Masdéu, Evarist 23 Barra, Adriano 23 Chatterjee, Sourav 22 Ferrando, Juan Carlos 21 Adamczak, Radosław 21 Račkauskas, Alfredas Yurgevich 20 Li, Deli 20 Plebanek, Grzegorz 19 Kąkol, Jerzy 19 Lugosi, Gábor 19 Spurný, Jiří 18 Comte, Fabienne 18 Godefroy, Gilles 18 Vershynin, Roman 17 Bednorz, Witold Marek 17 Cascales, Bernardo 17 Kuelbs, James D. 17 Lecué, Guillaume 17 Ledoux, Michel 17 Li, Wenbo V. 17 Naor, Assaf 17 Rauhut, Holger 17 Rhee, Wansoo T. 17 Rosalsky, Andrew 17 Van de Geer, Sara Anna 16 Jagannath, Aukosh 16 Nickl, Richard 15 Chen, Pingyan 15 Coja-Oghlan, Amin 15 Gozlan, Nathael 15 Kolchinskiĭ, Vladimir I’ich 15 Latała, Rafał 15 Mason, David M. 15 Todorcevic, Stevo B. 14 Auffinger, Antonio 14 Musial, Kazimierz 13 Bentkus, Vidmants-Kastytis 13 Dembo, Amir 13 Götze, Friedrich 13 Houdré, Christian 13 López Pellicer, Manuel 13 Löwe, Matthias 13 Mossel, Elchanan 13 Roberto, Cyril 13 Zinn, Joel 12 Agliari, Elena 12 Arcones, Miguel A. 12 Kalenda, Ondřej F. K. 12 Kistler, Nicola 12 Tomczak-Jaegermann, Nicole 12 Tropp, Joel A. 12 Vũ Hà Văn 11 Aviles Lopez, Antonio 11 Barthe, Franck 11 Contucci, Pierluigi 11 Ding, Jian 11 Guillin, Arnaud 11 Itoi, Chigak 11 Keller, Nathan 11 Wang, Feng-Yu 11 Zhang, Li-Xin 10 Ben Arous, Gérard 10 Bovier, Anton 10 Eldan, Ronen 10 Guédon, Olivier 10 Guerra, Francesco 10 Kahn, Jeff D. 10 Kalai, Gil 10 Lin, Zhengyan 10 Marciszewski, Witold 10 Merlevède, Florence 10 Peccati, Giovanni 10 Samson, Paul-Marie 10 Schechtman, Gideon 10 Shao, Qi-Man 10 Subag, Eliran 10 Sukochev, Fedor Anatol’evich 10 Volodin, Andrei I. 10 Wang, Wensheng 10 Zhivotovskiy, Nikita 9 Arguin, Louis-Pierre 9 Dodos, Pandelis 9 Einmahl, Uwe 9 Glasner, Eli 9 Heinrich, Stefan 9 Kato, Kengo 9 Meckes, Mark W. 9 Pajor, Alain 9 Paouris, Grigoris 9 Peres, Yuval 9 Rudelson, Mark 9 Schwab, Christoph 9 Semënov, Evgeniĭ Mikhaĭlovich ...and 3,537 more Authors all top 5 Cited in 439 Serials 174 The Annals of Probability 161 Probability Theory and Related Fields 132 Stochastic Processes and their Applications 112 Statistics & Probability Letters 105 Journal of Statistical Physics 103 The Annals of Statistics 103 Journal of Functional Analysis 98 Proceedings of the American Mathematical Society 94 Journal of Theoretical Probability 91 Journal of Mathematical Analysis and Applications 82 Israel Journal of Mathematics 78 Bernoulli 75 Topology and its Applications 69 Electronic Journal of Statistics 59 The Annals of Applied Probability 53 Communications in Mathematical Physics 52 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 51 Transactions of the American Mathematical Society 45 Electronic Journal of Probability 40 Random Structures & Algorithms 38 Comptes Rendus. Mathématique. Académie des Sciences, Paris 37 Advances in Mathematics 36 Journal of Multivariate Analysis 34 Journal of Mathematical Physics 32 Lithuanian Mathematical Journal 29 Journal of Mathematical Sciences (New York) 29 Journal of Machine Learning Research (JMLR) 28 Mathematische Annalen 27 Journal of Complexity 26 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 25 Journal of Physics A: Mathematical and Theoretical 23 Rocky Mountain Journal of Mathematics 21 Czechoslovak Mathematical Journal 21 Journal of Statistical Planning and Inference 21 Applied and Computational Harmonic Analysis 20 Mathematical Notes 20 Potential Analysis 20 Electronic Communications in Probability 19 Discrete & Computational Geometry 19 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 19 Acta Mathematica Sinica. English Series 18 Bulletin of the Australian Mathematical Society 17 Combinatorics, Probability and Computing 16 Stochastic Analysis and Applications 16 The Journal of Fourier Analysis and Applications 16 Foundations of Computational Mathematics 15 Archiv der Mathematik 15 Mathematische Zeitschrift 15 Theoretical Computer Science 15 Mathematical Programming. Series A. Series B 14 Journal of Approximation Theory 14 Geometric and Functional Analysis. GAFA 14 Mathematical Methods of Statistics 14 Positivity 13 Inventiones Mathematicae 13 Mathematika 12 Discrete Applied Mathematics 12 Journal of Applied Probability 12 The Journal of Symbolic Logic 12 Monatshefte für Mathematik 12 Acta Mathematica Hungarica 12 Annals of Pure and Applied Logic 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Annales de l’Institut Fourier 11 Annals of Mathematics. Second Series 11 Stochastics 10 Glasgow Mathematical Journal 10 SIAM Journal on Computing 10 Acta Applicandae Mathematicae 10 Acta Mathematicae Applicatae Sinica. English Series 10 Journal of the American Mathematical Society 10 Communications in Statistics. Theory and Methods 10 Journal of Statistical Mechanics: Theory and Experiment 10 ALEA. Latin American Journal of Probability and Mathematical Statistics 9 Communications on Pure and Applied Mathematics 9 Studia Mathematica 9 Theory of Probability and its Applications 9 Annals of the Institute of Statistical Mathematics 9 Journal of Combinatorial Theory. Series B 9 Quaestiones Mathematicae 9 Operations Research Letters 9 Archive for Mathematical Logic 9 SIAM Journal on Optimization 9 Test 9 Journal of Nonparametric Statistics 9 SIAM Journal on Mathematics of Data Science 8 Advances in Applied Probability 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Fundamenta Mathematicae 8 Journal of Econometrics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Neural Computation 8 Bulletin of the American Mathematical Society. New Series 8 The Electronic Journal of Combinatorics 8 Journal of the European Mathematical Society (JEMS) 8 Sankhyā. Series A 7 Acta Mathematica 7 Functiones et Approximatio. Commentarii Mathematici 7 Results in Mathematics 7 Combinatorica ...and 339 more Serials all top 5 Cited in 58 Fields 1,976 Probability theory and stochastic processes (60-XX) 741 Functional analysis (46-XX) 705 Statistics (62-XX) 489 Statistical mechanics, structure of matter (82-XX) 280 Measure and integration (28-XX) 251 Computer science (68-XX) 250 General topology (54-XX) 238 Combinatorics (05-XX) 184 Operator theory (47-XX) 159 Numerical analysis (65-XX) 154 Operations research, mathematical programming (90-XX) 141 Mathematical logic and foundations (03-XX) 120 Information and communication theory, circuits (94-XX) 114 Linear and multilinear algebra; matrix theory (15-XX) 106 Real functions (26-XX) 105 Partial differential equations (35-XX) 99 Harmonic analysis on Euclidean spaces (42-XX) 97 Convex and discrete geometry (52-XX) 67 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 59 Approximations and expansions (41-XX) 58 Dynamical systems and ergodic theory (37-XX) 58 Quantum theory (81-XX) 54 Abstract harmonic analysis (43-XX) 43 Global analysis, analysis on manifolds (58-XX) 42 Order, lattices, ordered algebraic structures (06-XX) 40 Number theory (11-XX) 40 Topological groups, Lie groups (22-XX) 36 Biology and other natural sciences (92-XX) 31 Sequences, series, summability (40-XX) 26 Functions of a complex variable (30-XX) 26 Differential geometry (53-XX) 26 Systems theory; control (93-XX) 19 Ordinary differential equations (34-XX) 19 Difference and functional equations (39-XX) 15 Geometry (51-XX) 11 General and overarching topics; collections (00-XX) 10 Integral equations (45-XX) 9 History and biography (01-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Fluid mechanics (76-XX) 8 Potential theory (31-XX) 8 Special functions (33-XX) 7 Group theory and generalizations (20-XX) 7 Algebraic topology (55-XX) 6 Mechanics of particles and systems (70-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of deformable solids (74-XX) 4 Manifolds and cell complexes (57-XX) 3 Algebraic geometry (14-XX) 2 Relativity and gravitational theory (83-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 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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