Benoît Collins

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Ion NechitaCNRS, Laboratoire de Physique Théorique, Université de ToulouseVerified email at irsamc.ups-tlse.fr
Teo BanicaUniversity of Cergy-PontoiseVerified email at u-cergy.fr
Piotr SniadyInstitute of Mathematics, Polish Academy of SciencesVerified email at impan.pl
Karol ZyczkowskiJagiellonian University / Center for Theoretical Physics PASVerified email at cft.edu.pl
Ken DykemaTexas A&M UniversityVerified email at math.tamu.edu
Alice GuionnetUniversité de Lyon, ENSLVerified email at ens-lyon.fr
Charles BordenaveCNRS & Aix-Marseille UniversitéVerified email at univ-amu.fr
Édouard Maurel-SegalaMaître de conférences en mathématiques, Équipe de Probabilités et Statistiques, Université Paris-Sud (Orsay)Verified email at math.u-psud.fr
James A. MingoProfessor of Mathematics, Queen's UniversityVerified email at mast.queensu.ca
Motohisa FukudaYamagata UniversityVerified email at sci.kj.yamagata-u.ac.jp
Noriyoshi SakumaNagoya City UniversityVerified email at nsc.nagoya-cu.ac.jp
Karol A. PensonProfessor of Theoretical Physics, Sorbonne Universités, Univ. Paris 6Verified email at lptl.jussieu.fr
Félix ParraudPostdoctoral student, KTH Royal Institute of TechnologyVerified email at kth.se
Jonathan NovakUniversity of California, San DiegoVerified email at ucsd.edu
Speicher RolandProfessor of Mathematics, Saarland UniversityVerified email at math.uni-sb.de
Jean-Marc SchlenkerUniversité du LuxembourgVerified email at uni.lu
Ping ZhongUniversity of HoustonVerified email at central.uh.edu
Razvan GurauCPHT, Ecole PolytechniqueVerified email at cpht.polytechnique.fr
Luca LionniDépartement de physique, École Normale Supérieure de LyonVerified email at ens-lyon.fr
Hari BercoviciIndiana UniversityVerified email at indiana.edu

Benoît Collins

Professor, Kyoto University

Verified email at math.kyoto-u.ac.jp - Homepage

mathematics


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Integration with respect to the Haar measure on unitary, orthogonal and symplectic group B Collins, P Śniady Communications in Mathematical Physics 264 (3), 773-795, 2006	785	2006
Moments and cumulants of polynomial random variables on unitarygroups, the Itzykson-Zuber integral, and free probability B Collins International Mathematics Research Notices 2003 (17), 953-982, 2003	532	2003
Generating random density matrices K Życzkowski, KA Penson, I Nechita, B Collins Journal of Mathematical Physics 52 (6), 2011	217	2011
Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants B Collins, JA Mingo, P Śniady, R Speicher Documenta Mathematica 12, 1-70, 2007	149	2007
Random matrix techniques in quantum information theory B Collins, I Nechita Journal of Mathematical Physics 57 (1), 2016	146	2016
Free bessel laws T Banica, ST Belinschi, M Capitaine, B Collins Canadian Journal of Mathematics 63 (1), 3-37, 2011	140	2011
Product of random projections, Jacobi ensembles and universality problems arising from free probability B Collins Probability theory and related fields 133 (3), 315-344, 2005	137	2005
The hyperoctahedral quantum group T Banica, J Bichon, B Collins arXiv preprint math/0701859, 2007	122	2007
On some properties of orthogonal Weingarten functions B Collins, S Matsumoto Journal of Mathematical Physics 50 (11), 2009	114	2009
The strong asymptotic freeness of Haar and deterministic matrices B Collins, C Male Annales scientifiques de l'École Normale Supérieure 47 (1), 147-163, 2014	112	2014
Integration over compact quantum groups T Banica, B Collins Publications of the Research Institute for Mathematical Sciences 43 (2), 277-302, 2007	98	2007
Random quantum channels I: graphical calculus and the Bell state phenomenon B Collins, I Nechita Communications in Mathematical Physics 297, 345-370, 2010	97	2010
Quantum permutation groups: a survey T Banica, J Bichon, B Collins arXiv preprint math/0612724, 2006	94	2006
Eigenvalues of random lifts and polynomials of random permutation matrices C Bordenave, B Collins Annals of Mathematics 190 (3), 811-875, 2019	84	2019
Integration over quantum permutation groups T Banica, B Collins Journal of Functional Analysis 242 (2), 641-657, 2007	81	2007
The weingarten calculus B Collins, S Matsumoto, J Novak arXiv preprint arXiv:2109.14890 97, 2022	78	2022
Random graph states, maximal flow and Fuss–Catalan distributions B Collins, I Nechita, K Życzkowski Journal of Physics A: Mathematical and Theoretical 43 (27), 275303, 2010	65	2010
Asymptotics of unitary and orthogonal matrix integrals B Collins, A Guionnet, E Maurel-Segala Advances in Mathematics 222 (1), 172-215, 2009	64	2009
Gaussianization and eigenvalue statistics for random quantum channels (III) B Collins, I Nechita	52	2011
Integration over the Pauli quantum group T Banica, B Collins Journal of Geometry and Physics 58 (8), 942-961, 2008	50	2008

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