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## Collins, Benoît

Compute Distance To:
 Author ID: collins.benoit Published as: Collins, Benoît; Collins, Benoit; Collins, B. External Links: ORCID · arXiv · IdRef · theses.fr
 Documents Indexed: 69 Publications since 2003 Reviewing Activity: 27 Reviews
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#### Co-Authors

 4 single-authored 14 Nechita, Ion 10 Banica, Teodor 7 Dykema, Kenneth J. 6 Brannan, Michael 6 Śniady, Piotr 6 Życzkowski, Karol 4 Fukuda, Motohisa 3 Belinschi, Serban Teodor 3 Bichon, Julien 3 Matsumoto, Sho 2 Bercovici, Hari 2 Kemp, Todd A. 2 Lee, Hun Hee 2 Li, Wing Suet 2 Sapra, Gunjan 2 Schlenker, Jean-Marc 2 Szarek, Tomasz Jakub 2 Zhong, Ping 1 Bardet, Ivan 1 Bordenave, Charles 1 Capitaine, Mireille 1 Charlesworth, Ian 1 Dahlqvist, Antoine 1 Gaudreau Lamarre, Pierre Yves 1 Gawron, Piotr 1 González-Guillén, Carlos E. 1 Guionnet, Alice 1 Härtel, Johannes 1 Hasebe, Takahiro 1 Kousha, Termeh 1 Kulik, Rafał 1 Kumari, Sushma 1 Litvak, Aleksandr Evgen’evich 1 Male, Camille 1 Maurel-Segala, Edouard 1 Mingo, James A. 1 Novak, Jonathan I. 1 Osaka, Hiroyuki 1 Penson, Karol A. 1 Pérez-García, David 1 Pestov, Vladimir G. 1 Saad, Nadia A. 1 Sakuma, Noriyoshi 1 Speicher, Roland 1 Stolz, Michael 1 Szymański, Konrad 1 Thom, Andreas Berthold 1 Timotin, Dan 1 Torres-Ayala, Francisco 1 Vergnioux, Roland 1 Ye, Deping 1 Yin, Zhi 1 Youn, Sang-Gyun 1 Zinn-Justin, Paul
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#### Serials

 6 Communications in Mathematical Physics 4 Journal of Mathematical Physics 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Functional Analysis 2 Advances in Mathematics 2 Transactions of the American Mathematical Society 2 Probability Theory and Related Fields 2 IMRN. International Mathematics Research Notices 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 The New York Journal of Mathematics 2 Random Matrices: Theory and Applications 1 Communications in Algebra 1 Houston Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Studia Mathematica 1 Journal of Geometry and Physics 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of the Mathematical Society of Japan 1 Journal of Multivariate Analysis 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Journal of Operator Theory 1 Advances in Applied Mathematics 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Mathematics 1 The Annals of Applied Probability 1 Linear Algebra and its Applications 1 Journal of Convex Analysis 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Documenta Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Operators and Matrices 1 Münster Journal of Mathematics 1 Quantum Topology
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#### Fields

 36 Functional analysis (46-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 29 Quantum theory (81-XX) 22 Probability theory and stochastic processes (60-XX) 12 Information and communication theory, circuits (94-XX) 8 Topological groups, Lie groups (22-XX) 7 Combinatorics (05-XX) 6 Abstract harmonic analysis (43-XX) 6 Operator theory (47-XX) 5 Group theory and generalizations (20-XX) 4 Nonassociative rings and algebras (17-XX) 3 Associative rings and algebras (16-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

62 Publications have been cited 856 times in 444 Documents Cited by Year
Integration with respect to the Haar measure on unitary, orthogonal and symplectic group. Zbl 1108.60004
2006
Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability. Zbl 1049.60091
Collins, Benoît
2003
Product of random projections, Jacobi ensembles and universality problems arising from free probability. Zbl 1100.46036
Collins, Benoît
2005
Free Bessel laws. Zbl 1218.46040
Banica, T.; Belinschi, S. T.; Capitaine, M.; Collins, B.
2011
The hyperoctahedral quantum group. Zbl 1185.46046
Banica, Teodor; Bichon, Julien; Collins, Benoît
2007
Integration over compact quantum groups. Zbl 1129.46058
Banica, Teodor; Collins, Benoît
2007
Random quantum channels. I: Graphical calculus and the Bell state phenomenon. Zbl 1191.81050
Collins, Benoît; Nechita, Ion
2010
Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants. Zbl 1123.46047
Collins, Benoît; Mingo, James A.; Śniady, Piotr; Speicher, Roland
2007
Integration over quantum permutation groups. Zbl 1170.46059
Banica, Teodor; Collins, Benoît
2007
Generating random density matrices. Zbl 1317.81041
Życzkowski, Karol; Penson, Karol A.; Nechita, Ion; Collins, Benoît
2011
On some properties of orthogonal Weingarten functions. Zbl 1304.22007
Collins, Benoît; Matsumoto, Sho
2009
The strong asymptotic freeness of Haar and deterministic matrices. (Liberté asymptotique forte pour les matrices de Haar et les matrices déterministes.) Zbl 1303.15043
Collins, Benoît; Male, Camille
2014
Gaussianization and eigenvalue statistics for random quantum channels. III. Zbl 1221.81035
Collins, Benoît; Nechita, Ion
2011
Asymptotics of unitary and orthogonal matrix integrals. Zbl 1184.15024
Collins, Benoît; Guionnet, Alice; Maurel-Segala, Edouard
2009
The Connes embedding property for quantum group von Neumann algebras. Zbl 1371.46057
Brannan, Michael; Collins, Benoît; Vergnioux, Roland
2017
Random quantum channels. II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems. Zbl 1203.81022
Collins, Benoît; Nechita, Ion
2011
Random graph states, maximal flow and Fuss-Catalan distributions. Zbl 1193.81031
Collins, Benoît; Nechita, Ion; Życzkowski, Karol
2010
Quantum permutation groups: a survey. Zbl 1140.46329
Banica, Teodor; Bichon, Julien; Collins, Benoît
2008
Liberation of projections. Zbl 1297.46045
Collins, Benoît; Kemp, Todd
2014
Random matrix techniques in quantum information theory. Zbl 1330.81054
Collins, Benoît; Nechita, Ion
2016
Eigenvectors and eigenvalues in a random subspace of a tensor product. Zbl 1276.15007
Belinschi, Serban; Collins, Benoît; Nechita, Ion
2012
The absolute positive partial transpose property for random induced states. Zbl 1260.60014
Collins, Benoit; Nechita, Ion; Ye, Deping
2012
Spectral analysis of the free orthogonal matrix. Zbl 1179.46056
Banica, Teodor; Collins, Benoit; Zinn-Justin, Paul
2009
A linearization of Connes’ embedding problem. Zbl 1162.46032
Collins, Benoît; Dykema, Ken
2008
Eigenvalue and entropy statistics for products of conjugate random quantum channels. Zbl 1229.81044
Collins, Benoît; Nechita, Ion
2010
A maximality result for orthogonal quantum groups. Zbl 1291.46069
Banica, Teodor; Bichon, Julien; Collins, Benoît; Curran, Stephen
2013
The spectral edge of unitary Brownian motion. Zbl 1384.15009
Collins, Benoît; Dahlqvist, Antoine; Kemp, Todd
2018
New scaling of Itzykson-Zuber integrals. Zbl 1120.46051
2007
Integration over the Pauli quantum group. Zbl 1152.46316
Banica, Teodor; Collins, Benoît
2008
Towards a state minimizing the output entropy of a tensor product of random quantum channels. Zbl 1274.81044
Collins, Benoît; Fukuda, Motohisa; Nechita, Ion
2012
On orthogonal matrices maximizing the 1-norm. Zbl 1228.15013
Banica, Teodor; Collins, Benoît; Schlenker, Jean-Marc
2010
Borel theorems for random matrices from the classical compact symmetric spaces. Zbl 1149.15016
Collins, Benoît; Stolz, Michael
2008
Homology of free quantum groups. Zbl 1170.46063
Collins, Benoît; Härtel, Johannes; Thom, Andreas
2009
Representations of Lie groups and random matrices. Zbl 1170.22005
2009
On polynomial integrals over the orthogonal group. Zbl 1231.05282
Banica, Teodor; Collins, Benoit; Schlenker, Jean-Marc
2011
Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor. Zbl 1196.46048
Bercovici, H.; Collins, B.; Dykema, K.; Li, W. S.; Timotin, D.
2010
Free products of sofic groups with amalgamation over monotileably amenable groups. Zbl 1242.43003
Collins, Benoit; Dykema, Kenneth J.
2011
Martin boundary theory of some quantum random walks. Zbl 1051.31005
Collins, Benoît
2004
On a reduction procedure for Horn inequalities in finite von Neumann algebras. Zbl 1181.46045
Collins, Benoît; Dykema, Ken
2009
The PPT square conjecture holds generically for some classes of independent states. Zbl 1407.81019
Collins, Benoît; Yin, Zhi; Zhong, Ping
2018
Integration of invariant matrices and moments of inverses of Ginibre and Wishart matrices. Zbl 1286.60005
2014
Highly entangled, non-random subspaces of tensor products from quantum groups. Zbl 1386.81096
Brannan, Michael; Collins, Benoît
2018
Weingarten calculus via orthogonality relations: new applications. Zbl 1375.60018
Collins, Benoît; Matsumoto, Sho
2017
Low entropy output states for products of random unitary channels. Zbl 1270.15023
Collins, Benoît; Fukuda, Motohisa; Nechita, Ion
2013
Matrix product states, random matrix theory and the principle of maximum entropy. Zbl 1270.15024
Collins, Benoît; González-Guillén, Carlos E.; Pérez-García, David
2013
Almost one bit violation for the additivity of the minimum output entropy. Zbl 1333.81065
Belinschi, Serban T.; Collins, Benoît; Nechita, Ion
2016
On the convergence of output sets of quantum channels. Zbl 1397.94037
Collins, Benoît; Fukuda, Motohisa; Nechita, Ion
2015
Eigenvalues of random lifts and polynomials of random permutation matrices. Zbl 1446.60004
Bordenave, Charles; Collins, Benoît
2019
Area law for random graph states. Zbl 1272.81027
Collins, Benoît; Nechita, Ion; Życzkowski, Karol
2013
Estimates for compression norms and additivity violation in quantum information. Zbl 1325.46068
Collins, Benoît; Fukuda, Motohisa; Zhong, Ping
2015
Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras. Zbl 1295.05263
Collins, Benoît; Lee, Hun Hee; Śniady, Piotr
2014
Free probability for purely discrete eigenvalues of random matrices. Zbl 1407.46056
Collins, Benoit; Hasebe, Takahiro; Sakuma, Noriyoshi
2018
Dual bases in Temperley-Lieb algebras, quantum groups, and a question of Jones. Zbl 1412.46078
Brannan, Michael; Collins, Benoît
2018
On a family of linear maps from $$M_n(\mathbb{C})$$ to $$M_{n^2}(\mathbb{C})$$. Zbl 1406.15005
Collins, Benoît; Osaka, Hiroyuki; Sapra, Gunjan
2018
Semiclassical asymptotics of $$\mathrm {GL}_N(\mathbb C)$$ tensor products and quantum random matrices. Zbl 1404.22032
Collins, Benoît; Novak, Jonathan; Śniady, Piotr
2018
Sum-of-squares results for polynomials related to the Bessis-Moussa-Villani conjecture. Zbl 1197.81145
Collins, Benoît; Dykema, Kenneth J.; Torres-Ayala, Francisco
2010
A nonconvex asymptotic quantum Horn body. Zbl 1257.15013
Collins, Benoît; Dykema, Kenneth J.
2011
Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras. Zbl 1325.46064
Bercovici, H.; Collins, B.; Dykema, K.; Li, W. S.
2015
Numerical range for random matrices. Zbl 1307.15055
Collins, Benoît; Gawron, Piotr; Litvak, Alexander E.; Życzkowski, Karol
2014
The accessibility of convex bodies and derandomization of the hit and run algorithm. Zbl 1396.52005
Collins, Benoît; Kousha, Termeh; Kulik, Rafał; Szarek, Tomasz; Życzkowski, Karol
2017
$${\ast}$$-freeness in finite tensor products. Zbl 1369.46059
Collins, Benoit; Gaudreau Lamarre, Pierre Yves
2017
Characterization of equivariant maps and application to entanglement detection. Zbl 1461.15002
Bardet, Ivan; Collins, Benoît; Sapra, Gunjan
2020
Characterization of equivariant maps and application to entanglement detection. Zbl 1461.15002
Bardet, Ivan; Collins, Benoît; Sapra, Gunjan
2020
Eigenvalues of random lifts and polynomials of random permutation matrices. Zbl 1446.60004
Bordenave, Charles; Collins, Benoît
2019
The spectral edge of unitary Brownian motion. Zbl 1384.15009
Collins, Benoît; Dahlqvist, Antoine; Kemp, Todd
2018
The PPT square conjecture holds generically for some classes of independent states. Zbl 1407.81019
Collins, Benoît; Yin, Zhi; Zhong, Ping
2018
Highly entangled, non-random subspaces of tensor products from quantum groups. Zbl 1386.81096
Brannan, Michael; Collins, Benoît
2018
Free probability for purely discrete eigenvalues of random matrices. Zbl 1407.46056
Collins, Benoit; Hasebe, Takahiro; Sakuma, Noriyoshi
2018
Dual bases in Temperley-Lieb algebras, quantum groups, and a question of Jones. Zbl 1412.46078
Brannan, Michael; Collins, Benoît
2018
On a family of linear maps from $$M_n(\mathbb{C})$$ to $$M_{n^2}(\mathbb{C})$$. Zbl 1406.15005
Collins, Benoît; Osaka, Hiroyuki; Sapra, Gunjan
2018
Semiclassical asymptotics of $$\mathrm {GL}_N(\mathbb C)$$ tensor products and quantum random matrices. Zbl 1404.22032
Collins, Benoît; Novak, Jonathan; Śniady, Piotr
2018
The Connes embedding property for quantum group von Neumann algebras. Zbl 1371.46057
Brannan, Michael; Collins, Benoît; Vergnioux, Roland
2017
Weingarten calculus via orthogonality relations: new applications. Zbl 1375.60018
Collins, Benoît; Matsumoto, Sho
2017
The accessibility of convex bodies and derandomization of the hit and run algorithm. Zbl 1396.52005
Collins, Benoît; Kousha, Termeh; Kulik, Rafał; Szarek, Tomasz; Życzkowski, Karol
2017
$${\ast}$$-freeness in finite tensor products. Zbl 1369.46059
Collins, Benoit; Gaudreau Lamarre, Pierre Yves
2017
Random matrix techniques in quantum information theory. Zbl 1330.81054
Collins, Benoît; Nechita, Ion
2016
Almost one bit violation for the additivity of the minimum output entropy. Zbl 1333.81065
Belinschi, Serban T.; Collins, Benoît; Nechita, Ion
2016
On the convergence of output sets of quantum channels. Zbl 1397.94037
Collins, Benoît; Fukuda, Motohisa; Nechita, Ion
2015
Estimates for compression norms and additivity violation in quantum information. Zbl 1325.46068
Collins, Benoît; Fukuda, Motohisa; Zhong, Ping
2015
Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras. Zbl 1325.46064
Bercovici, H.; Collins, B.; Dykema, K.; Li, W. S.
2015
The strong asymptotic freeness of Haar and deterministic matrices. (Liberté asymptotique forte pour les matrices de Haar et les matrices déterministes.) Zbl 1303.15043
Collins, Benoît; Male, Camille
2014
Liberation of projections. Zbl 1297.46045
Collins, Benoît; Kemp, Todd
2014
Integration of invariant matrices and moments of inverses of Ginibre and Wishart matrices. Zbl 1286.60005
2014
Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras. Zbl 1295.05263
Collins, Benoît; Lee, Hun Hee; Śniady, Piotr
2014
Numerical range for random matrices. Zbl 1307.15055
Collins, Benoît; Gawron, Piotr; Litvak, Alexander E.; Życzkowski, Karol
2014
A maximality result for orthogonal quantum groups. Zbl 1291.46069
Banica, Teodor; Bichon, Julien; Collins, Benoît; Curran, Stephen
2013
Low entropy output states for products of random unitary channels. Zbl 1270.15023
Collins, Benoît; Fukuda, Motohisa; Nechita, Ion
2013
Matrix product states, random matrix theory and the principle of maximum entropy. Zbl 1270.15024
Collins, Benoît; González-Guillén, Carlos E.; Pérez-García, David
2013
Area law for random graph states. Zbl 1272.81027
Collins, Benoît; Nechita, Ion; Życzkowski, Karol
2013
Eigenvectors and eigenvalues in a random subspace of a tensor product. Zbl 1276.15007
Belinschi, Serban; Collins, Benoît; Nechita, Ion
2012
The absolute positive partial transpose property for random induced states. Zbl 1260.60014
Collins, Benoit; Nechita, Ion; Ye, Deping
2012
Towards a state minimizing the output entropy of a tensor product of random quantum channels. Zbl 1274.81044
Collins, Benoît; Fukuda, Motohisa; Nechita, Ion
2012
Free Bessel laws. Zbl 1218.46040
Banica, T.; Belinschi, S. T.; Capitaine, M.; Collins, B.
2011
Generating random density matrices. Zbl 1317.81041
Życzkowski, Karol; Penson, Karol A.; Nechita, Ion; Collins, Benoît
2011
Gaussianization and eigenvalue statistics for random quantum channels. III. Zbl 1221.81035
Collins, Benoît; Nechita, Ion
2011
Random quantum channels. II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems. Zbl 1203.81022
Collins, Benoît; Nechita, Ion
2011
On polynomial integrals over the orthogonal group. Zbl 1231.05282
Banica, Teodor; Collins, Benoit; Schlenker, Jean-Marc
2011
Free products of sofic groups with amalgamation over monotileably amenable groups. Zbl 1242.43003
Collins, Benoit; Dykema, Kenneth J.
2011
A nonconvex asymptotic quantum Horn body. Zbl 1257.15013
Collins, Benoît; Dykema, Kenneth J.
2011
Random quantum channels. I: Graphical calculus and the Bell state phenomenon. Zbl 1191.81050
Collins, Benoît; Nechita, Ion
2010
Random graph states, maximal flow and Fuss-Catalan distributions. Zbl 1193.81031
Collins, Benoît; Nechita, Ion; Życzkowski, Karol
2010
Eigenvalue and entropy statistics for products of conjugate random quantum channels. Zbl 1229.81044
Collins, Benoît; Nechita, Ion
2010
On orthogonal matrices maximizing the 1-norm. Zbl 1228.15013
Banica, Teodor; Collins, Benoît; Schlenker, Jean-Marc
2010
Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor. Zbl 1196.46048
Bercovici, H.; Collins, B.; Dykema, K.; Li, W. S.; Timotin, D.
2010
Sum-of-squares results for polynomials related to the Bessis-Moussa-Villani conjecture. Zbl 1197.81145
Collins, Benoît; Dykema, Kenneth J.; Torres-Ayala, Francisco
2010
On some properties of orthogonal Weingarten functions. Zbl 1304.22007
Collins, Benoît; Matsumoto, Sho
2009
Asymptotics of unitary and orthogonal matrix integrals. Zbl 1184.15024
Collins, Benoît; Guionnet, Alice; Maurel-Segala, Edouard
2009
Spectral analysis of the free orthogonal matrix. Zbl 1179.46056
Banica, Teodor; Collins, Benoit; Zinn-Justin, Paul
2009
Homology of free quantum groups. Zbl 1170.46063
Collins, Benoît; Härtel, Johannes; Thom, Andreas
2009
Representations of Lie groups and random matrices. Zbl 1170.22005
2009
On a reduction procedure for Horn inequalities in finite von Neumann algebras. Zbl 1181.46045
Collins, Benoît; Dykema, Ken
2009
Quantum permutation groups: a survey. Zbl 1140.46329
Banica, Teodor; Bichon, Julien; Collins, Benoît
2008
A linearization of Connes’ embedding problem. Zbl 1162.46032
Collins, Benoît; Dykema, Ken
2008
Integration over the Pauli quantum group. Zbl 1152.46316
Banica, Teodor; Collins, Benoît
2008
Borel theorems for random matrices from the classical compact symmetric spaces. Zbl 1149.15016
Collins, Benoît; Stolz, Michael
2008
The hyperoctahedral quantum group. Zbl 1185.46046
Banica, Teodor; Bichon, Julien; Collins, Benoît
2007
Integration over compact quantum groups. Zbl 1129.46058
Banica, Teodor; Collins, Benoît
2007
Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants. Zbl 1123.46047
Collins, Benoît; Mingo, James A.; Śniady, Piotr; Speicher, Roland
2007
Integration over quantum permutation groups. Zbl 1170.46059
Banica, Teodor; Collins, Benoît
2007
New scaling of Itzykson-Zuber integrals. Zbl 1120.46051
2007
Integration with respect to the Haar measure on unitary, orthogonal and symplectic group. Zbl 1108.60004
2006
Product of random projections, Jacobi ensembles and universality problems arising from free probability. Zbl 1100.46036
Collins, Benoît
2005
Martin boundary theory of some quantum random walks. Zbl 1051.31005
Collins, Benoît
2004
Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability. Zbl 1049.60091
Collins, Benoît
2003
all top 5

#### Cited by 494 Authors

 50 Banica, Teodor 40 Collins, Benoît 26 Nechita, Ion 11 Brannan, Michael 11 Guionnet, Alice 10 Speicher, Roland 9 Bichon, Julien 8 Chirvăsitu, Alexandru 8 Fukuda, Motohisa 8 Matsumoto, Sho 8 Weber, Moritz 7 Mingo, James A. 7 Vergnioux, Roland 7 Życzkowski, Karol 6 Benaych-Georges, Florent 6 Jiang, Tiefeng 6 Skalski, Adam G. 6 Śniady, Piotr 6 Ueda, Yoshimichi 5 Belinschi, Serban Teodor 5 Dahlqvist, Antoine 5 Forrester, Peter J. 5 Rouault, Alain 4 Aubrun, Guillaume 4 Bercovici, Hari 4 Capitaine, Mireille 4 Demni, Nizar 4 Dykema, Kenneth J. 4 Freslon, Amaury 4 Goswami, Debashish 4 Gurau, Razvan Gheorghe 4 Hamdi, Tarek 4 Kemp, Todd A. 4 Maïda, Mylène 4 Novaes, Marcel 4 Novak, Jonathan I. 4 Raum, Sven 4 Schlenker, Jean-Marc 4 Zhong, Ping 3 Arizmendi, Octavio 3 Bao, Zhigang 3 Bryc, Włodzimierz 3 Cunden, Fabio Deelan 3 Eisert, Jens 3 Erdős, László 3 Gamboa, Fabrice 3 Gorin, Vadim 3 Guta, Madalin I. 3 Hiai, Fumio 3 Józiak, Paweł 3 Kyed, David 3 Lee, Hun Hee 3 Lemeux, François 3 Li, Wing Suet 3 Liu, Dangzheng 3 Młotkowski, Wojciech 3 Nagel, Jan 3 Pisier, Gilles 3 Popa, Mihai 3 Puchała, Zbigniew 3 Rivasseau, Vincent 3 Sakuma, Noriyoshi 3 Schnelli, Kevin 3 Slater, Paul B. 3 Szarek, Stanislaw Jerzy 3 Wang, Shuzhou 3 Zhang, Lun 2 Acharya, Anirudh 2 Bhattacharya, Angshuman 2 Bhowmick, Jyotishman 2 Bonzom, Valentin 2 Borodin, Alexei 2 Borot, Gaëtan 2 Casalis, Muriel 2 Cébron, Guillaume 2 Che, Ziliang 2 Christandl, Matthias 2 Cong, Shuang 2 Cotler, Jordan S. 2 Delepouve, Thibault 2 Dette, Holger 2 Donati-Martin, Catherine 2 Dumitriu, Ioana 2 Edelman, Alan Stuart 2 Fan, Zhou 2 Farrell, Brendan 2 Féray, Valentin 2 Franz, Uwe 2 Garcia-Failde, Elba 2 González-Guillén, Carlos E. 2 Götze, Friedrich W. 2 Hastings, Matthew B. 2 Hayase, Tomohiro 2 Hayden, Patrick M. 2 Hunter-Jones, Nicholas 2 Izumi, Masaki 2 Jivulescu, Maria Anastasia 2 Johnstone, Iain M. 2 Kasprzak, Paweł 2 Kieburg, Mario ...and 394 more Authors
all top 5

#### Cited in 122 Serials

 37 Communications in Mathematical Physics 35 Journal of Mathematical Physics 22 Journal of Functional Analysis 18 Random Matrices: Theory and Applications 17 Journal of Theoretical Probability 16 Advances in Mathematics 15 Probability Theory and Related Fields 11 Transactions of the American Mathematical Society 11 Journal of High Energy Physics 10 Journal of Statistical Physics 10 Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 Proceedings of the American Mathematical Society 9 New Journal of Physics 9 Journal of Physics A: Mathematical and Theoretical 7 Advances in Applied Mathematics 7 Linear Algebra and its Applications 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Quantum Information Processing 6 Journal of Combinatorial Theory. Series A 6 Annales Mathématiques Blaise Pascal 5 Letters in Mathematical Physics 5 Journal of Geometry and Physics 5 The Annals of Statistics 5 Journal für die Reine und Angewandte Mathematik 5 International Journal of Mathematics 5 Journal of Noncommutative Geometry 4 Annales de l’Institut Fourier 4 The Annals of Probability 4 Electronic Journal of Probability 4 Annales Henri Poincaré 3 Journal of Multivariate Analysis 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Complex Analysis and Operator Theory 3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 2 Communications on Pure and Applied Mathematics 2 Discrete Mathematics 2 Journal of Mathematical Analysis and Applications 2 Nuclear Physics. B 2 Acta Mathematica 2 Bulletin of the London Mathematical Society 2 Duke Mathematical Journal 2 Glasgow Mathematical Journal 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 Publications Mathématiques 2 Inventiones Mathematicae 2 Journal of Statistical Planning and Inference 2 Nagoya Mathematical Journal 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Statistics & Probability Letters 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Journal of Algebraic Combinatorics 2 The Electronic Journal of Combinatorics 2 Annals of Mathematics. Second Series 2 Journal of Statistical Mechanics: Theory and Experiment 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Analysis & PDE 1 International Journal of Modern Physics B 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 Linear and Multilinear Algebra 1 Physics Letters. A 1 Physics Reports 1 Fortschritte der Physik 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Econometrics 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Note di Matematica 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Journal of Symbolic Computation 1 Revista Matemática Iberoamericana 1 The Annals of Applied Probability 1 Designs, Codes and Cryptography 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Electronic Communications in Probability 1 Bernoulli 1 Documenta Mathematica 1 Transformation Groups 1 The Ramanujan Journal 1 Optimization Methods & Software 1 Open Systems & Information Dynamics 1 Annals of Combinatorics ...and 22 more Serials
all top 5

#### Cited in 45 Fields

 180 Functional analysis (46-XX) 167 Probability theory and stochastic processes (60-XX) 139 Linear and multilinear algebra; matrix theory (15-XX) 136 Quantum theory (81-XX) 54 Combinatorics (05-XX) 52 Group theory and generalizations (20-XX) 35 Associative rings and algebras (16-XX) 30 Nonassociative rings and algebras (17-XX) 30 Information and communication theory, circuits (94-XX) 27 Statistical mechanics, structure of matter (82-XX) 25 Statistics (62-XX) 24 Topological groups, Lie groups (22-XX) 18 Operator theory (47-XX) 16 Abstract harmonic analysis (43-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Special functions (33-XX) 13 Relativity and gravitational theory (83-XX) 10 Measure and integration (28-XX) 10 Numerical analysis (65-XX) 9 Algebraic geometry (14-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Integral transforms, operational calculus (44-XX) 8 Computer science (68-XX) 6 Category theory; homological algebra (18-XX) 5 Manifolds and cell complexes (57-XX) 4 Number theory (11-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Ordinary differential equations (34-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Operations research, mathematical programming (90-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 $$K$$-theory (19-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX)