Edit Profile (opens in new tab) Biane, Philippe Compute Distance To: Compute Author ID: biane.philippe Published as: Biane, Philippe; Biane, Ph.; Biane, P. more...less Documents Indexed: 80 Publications since 1985, including 1 Book 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 55 Reviews Co-Authors: 25 Co-Authors with 31 Joint Publications 869 Co-Co-Authors all top 5 Co-Authors 52 single-authored 8 Yor, Marc 3 Cheballah, Hayat 3 Speicher, Roland 3 Voiculescu, Dan-Virgil 2 Bougerol, Philippe 2 Guionnet, Alice 2 Josuat-Vergès, Matthieu 2 O’Connell, Neil 1 Berline, Nicole 1 Bertoin, Jean 1 Bost, Jean-Benoît 1 Cantini, Luigi 1 Capitaine, Mireille 1 Chapuy, Guillaume 1 Colmez, Pierre 1 Dabrowski, Yoann 1 Dehornoy, Patrick 1 Durrett, Richard Timothy 1 Faraut, Jacques 1 Germain, Emmanuel 1 Goodman, Frederick M. 1 Le Gall, Jean-François 1 Lehner, Franz 1 Letac, Gérard G. 1 Nica, Alexandru 1 Ouerdiane, Habib 1 Pitman, Jim William 1 Sabbah, Claude 1 Sportiello, Andrea all top 5 Serials 6 Séminaire Lotharingien de Combinatoire 3 Advances in Mathematics 3 Probability Theory and Related Fields 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Bulletin des Sciences Mathématiques. Deuxième Série 2 Journal of Combinatorial Theory. Series A 2 Transactions of the American Mathematical Society 2 Stochastic Processes and their Applications 2 Comptes Rendus de l’Académie des Sciences. Série I 2 The Electronic Journal of Combinatorics 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Annales de l’Institut Fourier 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Gazette des Mathématiciens 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Journal of Operator Theory 1 European Journal of Combinatorics 1 Journal of Theoretical Probability 1 Random Structures & Algorithms 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Stochastics and Stochastics Reports 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Acta Mathematica Sinica. English Series 1 Moscow Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 Lecture Notes in Mathematics 1 Séminaires et Congrès all top 5 Fields 48 Probability theory and stochastic processes (60-XX) 26 Combinatorics (05-XX) 25 Functional analysis (46-XX) 11 Group theory and generalizations (20-XX) 8 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Information and communication theory, circuits (94-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 71 Publications have been cited 1,286 times in 893 Documents Cited by ▼ Year ▼ Processes with free increments. Zbl 0902.60060Biane, Philippe 118 1998 Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions. Zbl 1040.11061Biane, Philippe; Pitman, Jim; Yor, Marc 78 2001 Representations of symmetric groups and free probability. Zbl 0927.20008Biane, Philippe 77 1998 Stochastic calculus with respect to free Brownian motion and analysis on Wigner space. Zbl 0919.60056Biane, Philippe; Speicher, Roland 75 1998 On the free convolution with a semi-circular distribution. Zbl 0904.46045Biane, Philippe 71 1997 Some properties of crossings and partitions. Zbl 0892.05006Biane, Philippe 68 1997 Free Brownian motion, free stochastic calculus and random matrices. Zbl 0873.60056Biane, Philippe 59 1997 Valeurs principales associées aux temps locaux Browniens. (Principal values associated to Brownian local times). Zbl 0619.60072Biane, Ph.; Yor, M. 57 1987 Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems. Zbl 0889.47013Biane, Philippe 46 1997 Littelmann paths and Brownian paths. Zbl 1161.60330Biane, Philippe; Bougerol, Philippe; O’Connell, Neil 42 2005 Free diffusions, free entropy and free Fisher information. Zbl 1020.46018Biane, Philippe; Speicher, Roland 37 2001 Free hypercontractivity. Zbl 0874.46049Biane, Philippe 35 1997 Approximate factorization and concentration for characters of symmetric groups. Zbl 1106.20304Biane, Philippe 33 2001 Characters of symmetric groups and free cumulants. Zbl 1035.05098Biane, Philippe 29 2003 Quantum random walk on the dual of SU\((n)\). Zbl 0746.46058Biane, Philippe 28 1991 A free probability analogue of the Wasserstein metric on the trace-state space. Zbl 1020.46020Biane, P.; Voiculescu, D. 27 2001 Continuous crystal and Duistermaat-Heckman measure for Coxeter groups. Zbl 1252.20037Biane, Philippe; Bougerol, Philippe; O’Connell, Neil 24 2009 Computation of some examples of Brown’s spectral measure in free probability. Zbl 0988.22004Biane, Philippe; Lehner, Franz 22 2001 Large deviation bounds for matrix Brownian motion. Zbl 1017.60026Biane, P.; Capitaine, M.; Guionnet, A. 21 2003 Permutations depending on the exceedance type and the number of inversions and combinatorial interpretation of a continued fraction of Heine. (Permutations suivant le type d’excédance et le nombre d’inversions et interprétation combinatoire d’une fraction continue de Heine.) Zbl 0784.05005Biane, Philippe 17 1993 Non-crossing cumulants of type B. Zbl 1031.46075Biane, Philippe; Goodman, Frederick; Nica, Alexandru 17 2003 Poissonian exponential functionals, \(q\)-series, \(q\)-integrals, and the moment problem for log-normal distributions. Zbl 1056.60046Bertoin, Jean; Biane, Philippe; Yor, Marc 16 2004 Logarithmic Sobolev inequalities, matrix models and free entropy. Zbl 1040.46042Biane, Philippe 15 2003 Parking functions of types A and B. Zbl 0999.06006Biane, P. 15 2002 Sur la loi des temps locaux browniens pris en un temps exponentiel. (On the law of local times at an exponential time). Zbl 0652.60081Biane, Ph.; Yor, M. 14 1988 Minimal factorizations of a cycle and central multiplicative functions on the infinite symmetric group. Zbl 0861.05001Biane, Philippe 14 1996 Relations entre pont et excursion du mouvement brownien réel. (Relations between bridge and excursion of real Brownian motion). Zbl 0596.60079Biane, Ph. 14 1986 Minuscule weights and random walks on lattices. Zbl 0787.60089Biane, Philippe 13 1992 Free probability for probabilists. Zbl 1105.46045Biane, Philippe 12 2003 Permutation model for semi-circular systems and quantum random walks. Zbl 0854.60070Biane, Philippe 11 1995 Nombre de factorisations d’un grand cycle (Number of factorizations of a large cycle). Zbl 1035.05005Biane, Philippe 10 2004 Quelques précisions sur le méandre brownien. (Some precisions on the Brownian meander). Zbl 0665.60081Biane, Ph.; Yor, M. 10 1988 Un processus qui ressemble au pont Brownien. (A process resembling the Brownian bridge). Zbl 0621.60086Biane, Ph.; Le Gall, J. F.; Yor, M. 9 1987 On the formula of Goulden and Rattan for Kerov polynomials. Zbl 1185.05149Biane, Philippe 9 2005 Intertwining of Markov semi-groups, some examples. Zbl 0831.47032Biane, Philippe 9 1995 Equation de Choquet-Deny sur le dual d’un groupe compact. Zbl 0766.46044Biane, Ph. 8 1992 Gog and Magog triangles, and the Schützenberger involution. Zbl 1283.05047Cheballah, Hayat; Biane, Philippe 8 2012 The Ney-Spitzer theorem on the dual of SU(2). (Théorème de Ney-Spitzer sur le dual de SU(2).) Zbl 0814.60064Biane, Philippe 8 1994 Representations of unitary groups and free convolution. Zbl 0856.22017Biane, Philippe 8 1995 Variations sur une formule de Paul Lévy. (Variations on a formula of Paul Levý). Zbl 0623.60099Biane, Ph.; Yor, M. 7 1987 Introduction to random walks on noncommutative spaces. Zbl 1170.46311Biane, Philippe 7 2008 Some properties of Brownian motion in a cone. (Quelques propriétés du mouvement Brownien dans un cone.) Zbl 0812.60067Biane, Philippe 6 1994 Non-commutative stochastic calculus. (Calcul stochastique non-commutatif.) Zbl 0878.60041Biane, Philippe 6 1995 Chaotic representation for finite Markov chains. Zbl 0712.60049Biane, Philippe 6 1990 Concavification of free entropy. Zbl 1269.46044Biane, Philippe; Dabrowski, Yoann 5 2013 Free cumulants and representations of large symmetric groups. Zbl 1041.20010Biane, Philippe 5 2001 Asymptotic estimates for the multiplicities in tensor powers of a \(\mathfrak g\)-module. (Estimation asymptotique des multiplicités dans les puissances tensorielles d’un \(\mathfrak g\)-module.) Zbl 0805.17005Biane, Philippe 5 1993 Comportement asymptotique de certaines fonctionnelles additives de plusieurs mouvements browniens. (Asymptotic compartment of certain additive functionals of some Brownian motions). Zbl 0731.60074Biane, Philippe 5 1989 Gog and GOGAm pentagons. Zbl 1326.05023Biane, Philippe; Cheballah, Hayat 4 2016 Itô’s stochastic calculus and Heisenberg commutation relations. Zbl 1194.60035Biane, Philippe 4 2010 Some properties of non-commutative Brownian motion. (Quelques propriétés du mouvement brownien non-commutatif.) Zbl 0867.46043Biane, P. 4 1996 From Pitman’s theorem to crystals. Zbl 1190.46051Biane, Philippe 3 2009 Polynomials associated with finite Markov chains. Zbl 1334.60140Biane, Philippe 3 2015 Noncrossing partitions, Bruhat order and the cluster complex. (Partitions non-croisées, ordre de Bruhat et complexe d’amas.) Zbl 1421.05011Biane, Philippe; Josuat-Vergès, Matthieu 3 2019 Lectures on probability theory. Ecole d’été de probabilités de Saint-Flour XXIII - 1993. Lectures given at the summer school in Saint- Flour, France, August 18-September 4, 1993. Zbl 0822.00009 3 1995 Free probability and combinatorics. Zbl 1003.46035Biane, P. 3 2002 Comparaison entre temps d’atteinte et temps de sejour de certaines diffusions réelles. Zbl 0562.60085Biane, Ph. 3 1985 Valeurs principales associées aux temps locaux browniens et processus stables symétriques (Principal values associated with Brownian local times and symmetric stable processes). Zbl 0583.60080Biane, Philippe; Yor, Marc 3 1985 Sur un calcul de F. Knight. (On a calculus of F. Knight). Zbl 0654.60061Biane, Ph. 2 1988 Gog, Magog and Schützenberger. II: Left trapezoids. Zbl 1294.05037Biane, Philippe; Cheballah, Hayat 2 2013 Amenable actions and harmonic functions. (Actions moyennables et fonctions harmoniques.) Zbl 0996.43003Biane, Philippe; Germain, Emmanuel 2 2002 The mean perimeter of some random plane convex sets generated by a Brownian motion. Zbl 1221.60115Biane, Philippe; Letac, Gérard 2 2011 Orthogonal polynomials on the unit circle, \(q\)-gamma weights, and discrete Painlevé equations. Zbl 1295.33021Biane, Philippe 1 2014 The theorem of Pitman, the \(SU_q(2)\) quantum group, and a question of P. A. Meyer. (Le théorème de Pitman, le groupe quantique \(SU_q(2)\), et une question de P. A. Meyer.) Zbl 1117.81082Biane, Philippe 1 2006 Dual Garside structure of braids and free cumulants of products. Zbl 1344.20049Biane, Philippe; Dehornoy, Patrick 1 2014 Martin boundary of the dual of SU(2). (Frontière de Martin du dual de SU(2).) Zbl 0763.60034Biane, Philippe 1 1992 Gog and Magog triangles. Zbl 1407.05021Biane, Philippe 1 2018 Laplacian matrices and spanning trees of tree graphs. Zbl 06754490Biane, Philippe; Chapuy, Guillaume 1 2017 Mating of discrete trees and walks in the quarter-plane. Zbl 1473.05049Biane, Philippe 1 2021 Minimal factorizations of a cycle: a multivariate generating function. Zbl 1440.05020Biane, Philippe; Josuat-Vergès, Matthieu 1 2020 Laver tables and combinatorics. Zbl 1441.05028Biane, Philippe 1 2019 Mating of discrete trees and walks in the quarter-plane. Zbl 1473.05049Biane, Philippe 1 2021 Minimal factorizations of a cycle: a multivariate generating function. Zbl 1440.05020Biane, Philippe; Josuat-Vergès, Matthieu 1 2020 Noncrossing partitions, Bruhat order and the cluster complex. (Partitions non-croisées, ordre de Bruhat et complexe d’amas.) Zbl 1421.05011Biane, Philippe; Josuat-Vergès, Matthieu 3 2019 Laver tables and combinatorics. Zbl 1441.05028Biane, Philippe 1 2019 Gog and Magog triangles. Zbl 1407.05021Biane, Philippe 1 2018 Laplacian matrices and spanning trees of tree graphs. Zbl 06754490Biane, Philippe; Chapuy, Guillaume 1 2017 Gog and GOGAm pentagons. Zbl 1326.05023Biane, Philippe; Cheballah, Hayat 4 2016 Polynomials associated with finite Markov chains. Zbl 1334.60140Biane, Philippe 3 2015 Orthogonal polynomials on the unit circle, \(q\)-gamma weights, and discrete Painlevé equations. Zbl 1295.33021Biane, Philippe 1 2014 Dual Garside structure of braids and free cumulants of products. Zbl 1344.20049Biane, Philippe; Dehornoy, Patrick 1 2014 Concavification of free entropy. Zbl 1269.46044Biane, Philippe; Dabrowski, Yoann 5 2013 Gog, Magog and Schützenberger. II: Left trapezoids. Zbl 1294.05037Biane, Philippe; Cheballah, Hayat 2 2013 Gog and Magog triangles, and the Schützenberger involution. Zbl 1283.05047Cheballah, Hayat; Biane, Philippe 8 2012 The mean perimeter of some random plane convex sets generated by a Brownian motion. Zbl 1221.60115Biane, Philippe; Letac, Gérard 2 2011 Itô’s stochastic calculus and Heisenberg commutation relations. Zbl 1194.60035Biane, Philippe 4 2010 Continuous crystal and Duistermaat-Heckman measure for Coxeter groups. Zbl 1252.20037Biane, Philippe; Bougerol, Philippe; O’Connell, Neil 24 2009 From Pitman’s theorem to crystals. Zbl 1190.46051Biane, Philippe 3 2009 Introduction to random walks on noncommutative spaces. Zbl 1170.46311Biane, Philippe 7 2008 The theorem of Pitman, the \(SU_q(2)\) quantum group, and a question of P. A. Meyer. (Le théorème de Pitman, le groupe quantique \(SU_q(2)\), et une question de P. A. Meyer.) Zbl 1117.81082Biane, Philippe 1 2006 Littelmann paths and Brownian paths. Zbl 1161.60330Biane, Philippe; Bougerol, Philippe; O’Connell, Neil 42 2005 On the formula of Goulden and Rattan for Kerov polynomials. Zbl 1185.05149Biane, Philippe 9 2005 Poissonian exponential functionals, \(q\)-series, \(q\)-integrals, and the moment problem for log-normal distributions. Zbl 1056.60046Bertoin, Jean; Biane, Philippe; Yor, Marc 16 2004 Nombre de factorisations d’un grand cycle (Number of factorizations of a large cycle). Zbl 1035.05005Biane, Philippe 10 2004 Characters of symmetric groups and free cumulants. Zbl 1035.05098Biane, Philippe 29 2003 Large deviation bounds for matrix Brownian motion. Zbl 1017.60026Biane, P.; Capitaine, M.; Guionnet, A. 21 2003 Non-crossing cumulants of type B. Zbl 1031.46075Biane, Philippe; Goodman, Frederick; Nica, Alexandru 17 2003 Logarithmic Sobolev inequalities, matrix models and free entropy. Zbl 1040.46042Biane, Philippe 15 2003 Free probability for probabilists. Zbl 1105.46045Biane, Philippe 12 2003 Parking functions of types A and B. Zbl 0999.06006Biane, P. 15 2002 Free probability and combinatorics. Zbl 1003.46035Biane, P. 3 2002 Amenable actions and harmonic functions. (Actions moyennables et fonctions harmoniques.) Zbl 0996.43003Biane, Philippe; Germain, Emmanuel 2 2002 Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions. Zbl 1040.11061Biane, Philippe; Pitman, Jim; Yor, Marc 78 2001 Free diffusions, free entropy and free Fisher information. Zbl 1020.46018Biane, Philippe; Speicher, Roland 37 2001 Approximate factorization and concentration for characters of symmetric groups. Zbl 1106.20304Biane, Philippe 33 2001 A free probability analogue of the Wasserstein metric on the trace-state space. Zbl 1020.46020Biane, P.; Voiculescu, D. 27 2001 Computation of some examples of Brown’s spectral measure in free probability. Zbl 0988.22004Biane, Philippe; Lehner, Franz 22 2001 Free cumulants and representations of large symmetric groups. Zbl 1041.20010Biane, Philippe 5 2001 Processes with free increments. Zbl 0902.60060Biane, Philippe 118 1998 Representations of symmetric groups and free probability. Zbl 0927.20008Biane, Philippe 77 1998 Stochastic calculus with respect to free Brownian motion and analysis on Wigner space. Zbl 0919.60056Biane, Philippe; Speicher, Roland 75 1998 On the free convolution with a semi-circular distribution. Zbl 0904.46045Biane, Philippe 71 1997 Some properties of crossings and partitions. Zbl 0892.05006Biane, Philippe 68 1997 Free Brownian motion, free stochastic calculus and random matrices. Zbl 0873.60056Biane, Philippe 59 1997 Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems. Zbl 0889.47013Biane, Philippe 46 1997 Free hypercontractivity. Zbl 0874.46049Biane, Philippe 35 1997 Minimal factorizations of a cycle and central multiplicative functions on the infinite symmetric group. Zbl 0861.05001Biane, Philippe 14 1996 Some properties of non-commutative Brownian motion. (Quelques propriétés du mouvement brownien non-commutatif.) Zbl 0867.46043Biane, P. 4 1996 Permutation model for semi-circular systems and quantum random walks. Zbl 0854.60070Biane, Philippe 11 1995 Intertwining of Markov semi-groups, some examples. Zbl 0831.47032Biane, Philippe 9 1995 Representations of unitary groups and free convolution. Zbl 0856.22017Biane, Philippe 8 1995 Non-commutative stochastic calculus. (Calcul stochastique non-commutatif.) Zbl 0878.60041Biane, Philippe 6 1995 Lectures on probability theory. Ecole d’été de probabilités de Saint-Flour XXIII - 1993. Lectures given at the summer school in Saint- Flour, France, August 18-September 4, 1993. Zbl 0822.00009 3 1995 The Ney-Spitzer theorem on the dual of SU(2). (Théorème de Ney-Spitzer sur le dual de SU(2).) Zbl 0814.60064Biane, Philippe 8 1994 Some properties of Brownian motion in a cone. (Quelques propriétés du mouvement Brownien dans un cone.) Zbl 0812.60067Biane, Philippe 6 1994 Permutations depending on the exceedance type and the number of inversions and combinatorial interpretation of a continued fraction of Heine. (Permutations suivant le type d’excédance et le nombre d’inversions et interprétation combinatoire d’une fraction continue de Heine.) Zbl 0784.05005Biane, Philippe 17 1993 Asymptotic estimates for the multiplicities in tensor powers of a \(\mathfrak g\)-module. (Estimation asymptotique des multiplicités dans les puissances tensorielles d’un \(\mathfrak g\)-module.) Zbl 0805.17005Biane, Philippe 5 1993 Minuscule weights and random walks on lattices. Zbl 0787.60089Biane, Philippe 13 1992 Equation de Choquet-Deny sur le dual d’un groupe compact. Zbl 0766.46044Biane, Ph. 8 1992 Martin boundary of the dual of SU(2). (Frontière de Martin du dual de SU(2).) Zbl 0763.60034Biane, Philippe 1 1992 Quantum random walk on the dual of SU\((n)\). Zbl 0746.46058Biane, Philippe 28 1991 Chaotic representation for finite Markov chains. Zbl 0712.60049Biane, Philippe 6 1990 Comportement asymptotique de certaines fonctionnelles additives de plusieurs mouvements browniens. (Asymptotic compartment of certain additive functionals of some Brownian motions). Zbl 0731.60074Biane, Philippe 5 1989 Sur la loi des temps locaux browniens pris en un temps exponentiel. (On the law of local times at an exponential time). Zbl 0652.60081Biane, Ph.; Yor, M. 14 1988 Quelques précisions sur le méandre brownien. (Some precisions on the Brownian meander). Zbl 0665.60081Biane, Ph.; Yor, M. 10 1988 Sur un calcul de F. Knight. (On a calculus of F. Knight). Zbl 0654.60061Biane, Ph. 2 1988 Valeurs principales associées aux temps locaux Browniens. (Principal values associated to Brownian local times). Zbl 0619.60072Biane, Ph.; Yor, M. 57 1987 Un processus qui ressemble au pont Brownien. (A process resembling the Brownian bridge). Zbl 0621.60086Biane, Ph.; Le Gall, J. F.; Yor, M. 9 1987 Variations sur une formule de Paul Lévy. (Variations on a formula of Paul Levý). Zbl 0623.60099Biane, Ph.; Yor, M. 7 1987 Relations entre pont et excursion du mouvement brownien réel. (Relations between bridge and excursion of real Brownian motion). Zbl 0596.60079Biane, Ph. 14 1986 Comparaison entre temps d’atteinte et temps de sejour de certaines diffusions réelles. Zbl 0562.60085Biane, Ph. 3 1985 Valeurs principales associées aux temps locaux browniens et processus stables symétriques (Principal values associated with Brownian local times and symmetric stable processes). Zbl 0583.60080Biane, Philippe; Yor, Marc 3 1985 all cited Publications top 5 cited Publications all top 5 Cited by 861 Authors 30 Yor, Marc 25 Śniady, Piotr 16 Collins, Benoît 15 Biane, Philippe 15 Demni, Nizar 15 Féray, Valentin 15 Hasebe, Takahiro 15 Nica, Alexandru 14 Bryc, Włodzimierz 14 O’Connell, Neil 12 Kemp, Todd A. 12 Schnelli, Kevin 12 Speicher, Roland 11 Borodin, Alexei 11 Guionnet, Alice 11 Pitman, Jim William 10 Capitaine, Mireille 10 Hall, Brian C. 9 Belinschi, Serban Teodor 9 Bozejko, Marek 9 Cébron, Guillaume 9 Shlyakhtenko, Dimitri L. 8 Anshelevich, Michael 8 Bercovici, Hari 8 Erdős, László 8 Götze, Friedrich 8 Katori, Makoto 8 Nechita, Ion 8 Nourdin, Ivan 8 Patie, Pierre 8 Yau, Horng-Tzer 7 Bufetov, Alekseĭ Igor’evich 7 Deya, Aurélien 7 Donati-Martin, Catherine 7 Gorin, Vadim 7 Junge, Marius 7 Raschel, Kilian 7 Ueda, Yoshimichi 7 Wang, Jiun-Chau 7 Wesołowski, Jacek 7 Zhong, Ping 6 Bao, Zhigang 6 Chafaï, Djalil 6 Chistyakov, Gennadiy P. 6 Corteel, Sylvie 6 Dahlqvist, Antoine 6 Fischer, Ilse 6 Hamdi, Tarek 6 Jekel, David 6 Lenczewski, Romuald 6 Lytvynov, Eugene W. 6 Mühle, Henri 6 Peccati, Giovanni 6 Schott, René 6 Voiculescu, Dan-Virgil 5 Arizmendi, Octavio 5 Bordenave, Charles 5 Dabrowski, Yoann 5 Dołȩga, Maciej 5 Ejsmont, Wiktor 5 Hiai, Fumio 5 Hora, Akihito 5 Janson, Svante 5 Kargin, Vladislav 5 Landon, Benjamin A. 5 Lee, Ji Oon 5 Lévy, Thierry 5 Maïda, Mylène 5 Novak, Jonathan I. 5 Ol’shanskiĭ, Grigoriĭ Iosifovich 5 Rattan, Amarpreet 5 Vallois, Pierre 5 Vassilieva, Ekaterina A. 5 Wang, Yizao 5 Zeng, Jiang 4 Banica, Teodor 4 Bertoin, Jean 4 Blitvić, Natasha 4 Charlesworth, Ian 4 Goulden, Ian P. 4 Ho, Ching Wei 4 Huang, Jiaoyang 4 Kuan, Jeffrey 4 Kvinge, Henry 4 Lecouvey, Cédric 4 Lehner, Franz 4 Lopatto, Patrick 4 Matsumoto, Sho 4 Matysiak, Wojciech 4 Mingo, James A. 4 Nadeau, Philippe 4 Najnudel, Joseph 4 Neshveyev, Sergey V. 4 Panova, Greta 4 Szpojankowski, Kamil 4 Tarrago, Pierre 4 Vergnioux, Roland 4 Warren, Jon 4 Yen, Ju-Yi J. 4 Zeitouni, Ofer ...and 761 more Authors all top 5 Cited in 171 Serials 60 Journal of Functional Analysis 47 The Annals of Probability 44 Probability Theory and Related Fields 39 Advances in Mathematics 38 Journal of Theoretical Probability 33 Communications in Mathematical Physics 32 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 31 Stochastic Processes and their Applications 25 Infinite Dimensional Analysis, Quantum Probability and Related Topics 23 Transactions of the American Mathematical Society 18 Journal of Mathematical Physics 17 Advances in Applied Mathematics 16 Journal of Statistical Physics 15 Journal of Combinatorial Theory. Series A 14 Electronic Journal of Probability 13 European Journal of Combinatorics 13 Statistics & Probability Letters 11 Discrete Mathematics 11 The Annals of Applied Probability 11 Journal of Algebraic Combinatorics 11 The Electronic Journal of Combinatorics 11 Random Matrices: Theory and Applications 10 Bernoulli 10 Annals of Combinatorics 9 Séminaire Lotharingien de Combinatoire 8 Journal of Mathematical Analysis and Applications 8 Duke Mathematical Journal 8 Proceedings of the American Mathematical Society 8 ALEA. Latin American Journal of Probability and Mathematical Statistics 8 Algebraic Combinatorics 7 Journal of Algebra 6 Letters in Mathematical Physics 6 Annales de l’Institut Fourier 6 Mathematische Zeitschrift 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Probability Surveys 5 International Journal of Mathematics 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Electronic Communications in Probability 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Communications on Pure and Applied Mathematics 4 Journal of Geometry and Physics 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Mathematical Physics, Analysis and Geometry 4 Journal of High Energy Physics 4 Complex Analysis and Operator Theory 4 Annales Henri Lebesgue 3 Advances in Applied Probability 3 Studia Mathematica 3 Dissertationes Mathematicae 3 Inventiones Mathematicae 3 Journal of Applied Probability 3 Memoirs of the American Mathematical Society 3 Nagoya Mathematical Journal 3 SIAM Journal on Discrete Mathematics 3 Random Structures & Algorithms 3 Geometric and Functional Analysis. GAFA 3 Linear Algebra and its Applications 3 Proceedings of the National Academy of Sciences of the United States of America 3 Bulletin of the American Mathematical Society. New Series 3 Potential Analysis 3 Journal of Mathematical Sciences (New York) 3 Bulletin des Sciences Mathématiques 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Algebras and Representation Theory 3 Journal of Physics A: Mathematical and Theoretical 3 Analysis & PDE 3 Japanese Journal of Mathematics. 3rd Series 2 Journal d’Analyse Mathématique 2 Reports on Mathematical Physics 2 Reviews in Mathematical Physics 2 Canadian Journal of Mathematics 2 Demonstratio Mathematica 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 Journal of Multivariate Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Pacific Journal of Mathematics 2 Theoretical Computer Science 2 Statistics 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 Expositiones Mathematicae 2 Calculus of Variations and Partial Differential Equations 2 Selecta Mathematica. New Series 2 Documenta Mathematica 2 Annals of Mathematics. Second Series 2 Central European Journal of Mathematics 2 Stochastics 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Communications in Algebra 1 General Relativity and Gravitation 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Periodica Mathematica Hungarica 1 Physica A 1 Psychometrika ...and 71 more Serials all top 5 Cited in 55 Fields 547 Probability theory and stochastic processes (60-XX) 302 Functional analysis (46-XX) 210 Combinatorics (05-XX) 121 Linear and multilinear algebra; matrix theory (15-XX) 91 Group theory and generalizations (20-XX) 84 Quantum theory (81-XX) 61 Statistical mechanics, structure of matter (82-XX) 43 Operator theory (47-XX) 36 Topological groups, Lie groups (22-XX) 31 Partial differential equations (35-XX) 30 Special functions (33-XX) 25 Number theory (11-XX) 24 Statistics (62-XX) 23 Order, lattices, ordered algebraic structures (06-XX) 23 Global analysis, analysis on manifolds (58-XX) 20 Functions of a complex variable (30-XX) 17 Abstract harmonic analysis (43-XX) 17 Information and communication theory, circuits (94-XX) 16 Nonassociative rings and algebras (17-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Associative rings and algebras (16-XX) 11 Potential theory (31-XX) 11 Integral transforms, operational calculus (44-XX) 11 Convex and discrete geometry (52-XX) 11 Computer science (68-XX) 10 Differential geometry (53-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 6 Algebraic geometry (14-XX) 6 Category theory; homological algebra (18-XX) 6 Measure and integration (28-XX) 6 Numerical analysis (65-XX) 5 Real functions (26-XX) 5 Difference and functional equations (39-XX) 3 Commutative algebra (13-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year