Benoît Collins
Benoît Collins
Professor, Kyoto University
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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
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
Generating random density matrices
K Życzkowski, KA Penson, I Nechita, B Collins
Journal of Mathematical Physics 52 (6), 062201, 2011
Free bessel laws
T Banica, ST Belinschi, M Capitaine, B Collins
Canadian Journal of Mathematics 63 (1), 3-37, 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
Second Order Freeness and Fluctuations of Random Matrices, III. Higher order freeness and free cumulants
B Collins, JA Mingo, P Sniady, R Speicher
arXiv preprint math/0606431, 2006
The hyperoctahedral quantum group
T Banica, J Bichon, B Collins
arXiv preprint math/0701859, 2007
Integration over compact quantum groups
T Banica, B Collins
Publications of the Research Institute for Mathematical Sciences 43 (2), 277-302, 2007
On some properties of orthogonal Weingarten functions
B Collins, S Matsumoto
Journal of Mathematical Physics 50 (11), 113516, 2009
Random matrix techniques in quantum information theory
B Collins, I Nechita
Journal of Mathematical Physics 57 (1), 015215, 2016
The strong asymptotic freeness of Haar and deterministic matrices
B Collins, C Male
arXiv preprint arXiv:1105.4345, 2011
Quantum permutation groups: a survey
T Banica, J Bichon, B Collins
arXiv preprint math/0612724, 2006
Random quantum channels I: Graphical calculus and the Bell state phenomenon
B Collins, I Nechita
Communications in Mathematical Physics 297 (2), 345-370, 2010
Integration over quantum permutation groups
T Banica, B Collins
Journal of Functional Analysis 242 (2), 641-657, 2007
Asymptotics of unitary and orthogonal matrix integrals
B Collins, A Guionnet, E Maurel-Segala
Advances in Mathematics 222 (1), 172-215, 2009
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
The Connes embedding property for quantum group von Neumann algebras
M Brannan, B Collins, R Vergnioux
Transactions of the American Mathematical Society 369 (6), 3799-3819, 2017
Gaussianization and eigenvalue statistics for random quantum channels (III)
B Collins, I Nechita
The Annals of Applied Probability 21 (3), 1136-1179, 2011
Random quantum channels II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems
B Collins, I Nechita
Advances in Mathematics 226 (2), 1181-1201, 2011
Borel theorems for random matrices from the classical compact symmetric spaces
B Collins, M Stolz
The Annals of Probability 36 (3), 876-895, 2008
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