Edit Profile (opens in new tab) Collins, Benoît Co-Author Distance Author ID: collins.benoit Published as: Collins, Benoît; Collins, Benoit; Collins, B. more...less Further Spellings: ブノワ・コリンズ Homepage: https://www.math.kyoto-u.ac.jp/~collins/ External Links: MGP · ORCID · Wikidata · arXiv · Google Scholar · ResearchGate · dblp · IdRef · theses.fr Documents Indexed: 96 Publications since 2003, including 10 Additional arXiv Preprints Reviewing Activity: 27 Reviews Co-Authors: 78 Co-Authors with 89 Joint Publications 1,876 Co-Co-Authors all top 5 Co-Authors 5 single-authored 15 Nechita, Ion 10 Banica, Teodor 8 Dykema, Kenneth J. 7 Śniady, Piotr 6 Brannan, Michael 6 Życzkowski, Karol 4 Fukuda, Motohisa 4 Matsumoto, Sho 3 Belinschi, Serban Teodor 3 Bichon, Julien 3 Bordenave, Charles 3 Parraud, Félix 3 Sakuma, Noriyoshi 2 Bercovici, Hari 2 Gaudreau Lamarre, Pierre Yves 2 Guionnet, Alice 2 Gurau, Razvan Gheorghe 2 Hasebe, Takahiro 2 Kemp, Todd A. 2 Lee, Hun Hee 2 Leid, Felix 2 Li, Wing Suet 2 Lionni, Luca 2 Male, Camille 2 Novak, Jonathan I. 2 Sapra, Gunjan 2 Schlenker, Jean-Marc 2 Szarek, Tomasz Jakub 2 Youn, Sang-Gyun 2 Zhong, Ping 1 Bardet, Ivan 1 Budden, Mark R. 1 Cadilhac, Léonard 1 Capitaine, Mireille 1 Charlesworth, Ian 1 Cioppa, Timothy 1 Cleve, Richard 1 Curran, Stephen Robert 1 Dahlqvist, Antoine 1 Fujie, Katsunori 1 Gawron, Piotr 1 Giordano, Thierry 1 González-Guillén, Carlos E. 1 Härtel, Johannes 1 Hayase, Tomohiro 1 Hayden, Patrick M. 1 Kousha, Termeh 1 Kulik, Rafał 1 Kumari, Sushma 1 Litvak, Aleksandr Evgen’evich 1 Liu, Li 1 Magee, Michael 1 Mai, Tobias 1 Maurel-Segala, Edouard 1 McSwiggen, Colin 1 Metcalfe, Anthony P. 1 Mingo, James A. 1 Miyagawa, Akihiro 1 Osaka, Hiroyuki 1 Paulsen, Vern Ival 1 Penson, Karol A. 1 Pérez-García, David 1 Pestov, Vladimir G. 1 Puder, Doron 1 Saad, Nadia A. 1 Sato, Ryosuke 1 Speicher, Roland 1 Stolz, Michael 1 Szymański, Konrad 1 Thom, Andreas Berthold 1 Timotin, Dan 1 Torres-Ayala, Francisco 1 Vergnioux, Roland 1 Yao, Jianfeng 1 Ye, Deping 1 Yin, Sheng 1 Yin, Zhi 1 Yuan, Wangjun 1 Zhao, Liang 1 Zinn-Justin, Paul all top 5 Serials 8 Communications in Mathematical Physics 5 Journal of Mathematical Physics 5 Journal of Physics A: Mathematical and Theoretical 4 Journal of Functional Analysis 3 Transactions of the American Mathematical Society 3 IMRN. International Mathematics Research Notices 3 Random Matrices: Theory and Applications 2 Advances in Mathematics 2 Probability Theory and Related Fields 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 The New York Journal of Mathematics 2 Documenta Mathematica 2 Operators and Matrices 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 Mathematische Annalen 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 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Convex Analysis 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Electronic Journal of Probability 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 Acta Universitatis Apulensis. Mathematics - Informatics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Münster Journal of Mathematics 1 Quantum Topology 1 Cambridge Journal of Mathematics all top 5 Fields 45 Functional analysis (46-XX) 36 Quantum theory (81-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 34 Probability theory and stochastic processes (60-XX) 13 Information and communication theory, circuits (94-XX) 11 Combinatorics (05-XX) 11 Topological groups, Lie groups (22-XX) 8 Operator theory (47-XX) 7 Abstract harmonic analysis (43-XX) 5 Group theory and generalizations (20-XX) 4 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 4 Computer science (68-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 75 Publications have been cited 1,202 times in 651 Documents Cited by ▼ Year ▼ Integration with respect to the Haar measure on unitary, orthogonal and symplectic group. Zbl 1108.60004 Collins, Benoît; Śniady, Piotr 167 2006 Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability. Zbl 1049.60091 Collins, Benoît 141 2003 Product of random projections, Jacobi ensembles and universality problems arising from free probability. Zbl 1100.46036 Collins, Benoît 52 2005 The hyperoctahedral quantum group. Zbl 1185.46046 Banica, Teodor; Bichon, Julien; Collins, Benoît 47 2007 Free Bessel laws. Zbl 1218.46040 Banica, T.; Belinschi, S. T.; Capitaine, M.; Collins, B. 44 2011 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 40 2007 Generating random density matrices. Zbl 1317.81041 Życzkowski, Karol; Penson, Karol A.; Nechita, Ion; Collins, Benoît 37 2011 Integration over compact quantum groups. Zbl 1129.46058 Banica, Teodor; Collins, Benoît 36 2007 Random quantum channels. I: Graphical calculus and the Bell state phenomenon. Zbl 1191.81050 Collins, Benoît; Nechita, Ion 34 2010 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 33 2014 On some properties of orthogonal Weingarten functions. Zbl 1304.22007 Collins, Benoît; Matsumoto, Sho 31 2009 Integration over quantum permutation groups. Zbl 1170.46059 Banica, Teodor; Collins, Benoît 28 2007 Random matrix techniques in quantum information theory. Zbl 1330.81054 Collins, Benoît; Nechita, Ion 26 2016 Asymptotics of unitary and orthogonal matrix integrals. Zbl 1184.15024 Collins, Benoît; Guionnet, Alice; Maurel-Segala, Edouard 24 2009 Gaussianization and eigenvalue statistics for random quantum channels. III. Zbl 1221.81035 Collins, Benoît; Nechita, Ion 21 2011 Quantum permutation groups: a survey. Zbl 1140.46329 Banica, Teodor; Bichon, Julien; Collins, Benoît 20 2008 The Connes embedding property for quantum group von Neumann algebras. Zbl 1371.46057 Brannan, Michael; Collins, Benoît; Vergnioux, Roland 20 2017 Random graph states, maximal flow and Fuss-Catalan distributions. Zbl 1193.81031 Collins, Benoît; Nechita, Ion; Życzkowski, Karol 20 2010 Random quantum channels. II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems. Zbl 1203.81022 Collins, Benoît; Nechita, Ion 18 2011 Eigenvalues of random lifts and polynomials of random permutation matrices. Zbl 1446.60004 Bordenave, Charles; Collins, Benoît 15 2019 The spectral edge of unitary Brownian motion. Zbl 1384.15009 Collins, Benoît; Dahlqvist, Antoine; Kemp, Todd 14 2018 New scaling of Itzykson-Zuber integrals. Zbl 1120.46051 Collins, Benoît; Śniady, Piotr 13 2007 Spectral analysis of the free orthogonal matrix. Zbl 1179.46056 Banica, Teodor; Collins, Benoit; Zinn-Justin, Paul 13 2009 Integration over the Pauli quantum group. Zbl 1152.46316 Banica, Teodor; Collins, Benoît 13 2008 Liberation of projections. Zbl 1297.46045 Collins, Benoît; Kemp, Todd 13 2014 Eigenvectors and eigenvalues in a random subspace of a tensor product. Zbl 1276.15007 Belinschi, Serban; Collins, Benoît; Nechita, Ion 13 2012 Borel theorems for random matrices from the classical compact symmetric spaces. Zbl 1149.15016 Collins, Benoît; Stolz, Michael 12 2008 Representations of Lie groups and random matrices. Zbl 1170.22005 Collins, Benoît; Śniady, Piotr 11 2009 Highly entangled, non-random subspaces of tensor products from quantum groups. Zbl 1386.81096 Brannan, Michael; Collins, Benoît 11 2018 A linearization of Connes’ embedding problem. Zbl 1162.46032 Collins, Benoît; Dykema, Ken 11 2008 On polynomial integrals over the orthogonal group. Zbl 1231.05282 Banica, Teodor; Collins, Benoit; Schlenker, Jean-Marc 10 2011 Towards a state minimizing the output entropy of a tensor product of random quantum channels. Zbl 1274.81044 Collins, Benoît; Fukuda, Motohisa; Nechita, Ion 10 2012 The absolute positive partial transpose property for random induced states. Zbl 1260.60014 Collins, Benoit; Nechita, Ion; Ye, Deping 10 2012 A maximality result for orthogonal quantum groups. Zbl 1291.46069 Banica, Teodor; Bichon, Julien; Collins, Benoît; Curran, Stephen 10 2013 On orthogonal matrices maximizing the 1-norm. Zbl 1228.15013 Banica, Teodor; Collins, Benoît; Schlenker, Jean-Marc 9 2010 Eigenvalue and entropy statistics for products of conjugate random quantum channels. Zbl 1229.81044 Collins, Benoît; Nechita, Ion 9 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. 9 2010 Homology of free quantum groups. Zbl 1170.46063 Collins, Benoît; Härtel, Johannes; Thom, Andreas 9 2009 Almost one bit violation for the additivity of the minimum output entropy. Zbl 1333.81065 Belinschi, Serban T.; Collins, Benoît; Nechita, Ion 9 2016 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 8 2018 Temperley-Lieb quantum channels. Zbl 1439.81059 Brannan, Michael; Collins, Benoît; Lee, Hun Hee; Youn, Sang-Gyun 8 2020 Weingarten calculus via orthogonality relations: new applications. Zbl 1375.60018 Collins, Benoît; Matsumoto, Sho 7 2017 Matrix product states, random matrix theory and the principle of maximum entropy. Zbl 1270.15024 Collins, Benoît; González-Guillén, Carlos E.; Pérez-García, David 7 2013 Random and free positive maps with applications to entanglement detection. Zbl 1405.81018 Collins, Benoît; Hayden, Patrick; Nechita, Ion 7 2017 Martin boundary theory of some quantum random walks. Zbl 1051.31005 Collins, Benoît 6 2004 On a reduction procedure for Horn inequalities in finite von Neumann algebras. Zbl 1181.46045 Collins, Benoît; Dykema, Ken 6 2009 The PPT square conjecture holds generically for some classes of independent states. Zbl 1407.81019 Collins, Benoît; Yin, Zhi; Zhong, Ping 6 2018 The Weingarten calculus. Zbl 1527.60007 Collins, Benoît; Matsumoto, Sho; Novak, Jonathan 6 2022 Low entropy output states for products of random unitary channels. Zbl 1270.15023 Collins, Benoît; Fukuda, Motohisa; Nechita, Ion 6 2013 Free probability for purely discrete eigenvalues of random matrices. Zbl 1407.46056 Collins, Benoit; Hasebe, Takahiro; Sakuma, Noriyoshi 6 2018 Free products of sofic groups with amalgamation over monotileably amenable groups. Zbl 1242.43003 Collins, Benoit; Dykema, Kenneth J. 5 2011 Estimates for compression norms and additivity violation in quantum information. Zbl 1325.46068 Collins, Benoît; Fukuda, Motohisa; Zhong, Ping 5 2015 Integration of invariant matrices and moments of inverses of Ginibre and Wishart matrices. Zbl 1286.60005 Collins, Benoît; Matsumoto, Sho; Saad, Nadia 5 2014 Area law for random graph states. Zbl 1272.81027 Collins, Benoît; Nechita, Ion; Życzkowski, Karol 5 2013 Haagerup’s inequality and additivity violation of the minimum output entropy. Zbl 1402.46045 Collins, Benoît 5 2018 Semiclassical asymptotics of \(\mathrm {GL}_N(\mathbb C)\) tensor products and quantum random matrices. Zbl 1404.22032 Collins, Benoît; Novak, Jonathan; Śniady, Piotr 5 2018 On the convergence of output sets of quantum channels. Zbl 1397.94037 Collins, Benoît; Fukuda, Motohisa; Nechita, Ion 4 2015 On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices. Zbl 1487.46073 Collins, Benoît; Guionnet, Alice; Parraud, Félix 4 2022 Characterization of equivariant maps and application to entanglement detection. Zbl 1461.15002 Bardet, Ivan; Collins, Benoît; Sapra, Gunjan 4 2020 Sum-of-squares results for polynomials related to the Bessis-Moussa-Villani conjecture. Zbl 1197.81145 Collins, Benoît; Dykema, Kenneth J.; Torres-Ayala, Francisco 2 2010 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 2 2017 \({\ast}\)-freeness in finite tensor products. Zbl 1369.46059 Collins, Benoit; Gaudreau Lamarre, Pierre Yves 2 2017 Numerical range for random matrices. Zbl 1307.15055 Collins, Benoît; Gawron, Piotr; Litvak, Alexander E.; Życzkowski, Karol 2 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 2 2014 On spectral distribution of sample covariance matrices from large dimensional and large \(k\)-fold tensor products. Zbl 1498.60028 Collins, Benoît; Yao, Jianfeng; Yuan, Wangjun 2 2022 Asymptotic freeness of layerwise Jacobians caused by invariance of multilayer perceptron: the Haar orthogonal case. Zbl 1521.46027 Collins, Benoît; Hayase, Tomohiro 2 2023 Dual bases in Temperley-Lieb algebras, quantum groups, and a question of Jones. Zbl 1412.46078 Brannan, Michael; Collins, Benoît 2 2018 A nonconvex asymptotic quantum Horn body. Zbl 1257.15013 Collins, Benoît; Dykema, Kenneth J. 1 2011 Convex set of quantum states with positive partial transpose analysed by hit and run algorithm. Zbl 1370.81037 Szymański, Konrad; Collins, Benoit; Szarek, Tomasz; Życzkowski, Karol 1 2017 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. 1 2015 Universal consistency of the \(k\)-NN rule in metric spaces and Nagata dimension. Zbl 1455.62123 Collins, Benoît; Kumari, Sushma; Pestov, Vladimir G. 1 2020 Entanglement and the Temperley-Lieb category. Zbl 1445.81011 Brannan, Michael; Collins, Benoît 1 2020 Matrix models for \(\varepsilon\)-free independence. Zbl 1475.46054 Charlesworth, Ian; Collins, Benoît 1 2021 Additivity violation of the regularized minimum output entropy. Zbl 1503.46050 Collins, Benoît; Youn, Sang-Gyun 1 2022 Concentration estimates for random subspaces of a tensor product and application to quantum information theory. Zbl 1507.81055 Collins, Benoît; Parraud, Félix 1 2022 Asymptotic freeness of layerwise Jacobians caused by invariance of multilayer perceptron: the Haar orthogonal case. Zbl 1521.46027 Collins, Benoît; Hayase, Tomohiro 2 2023 The Weingarten calculus. Zbl 1527.60007 Collins, Benoît; Matsumoto, Sho; Novak, Jonathan 6 2022 On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices. Zbl 1487.46073 Collins, Benoît; Guionnet, Alice; Parraud, Félix 4 2022 On spectral distribution of sample covariance matrices from large dimensional and large \(k\)-fold tensor products. Zbl 1498.60028 Collins, Benoît; Yao, Jianfeng; Yuan, Wangjun 2 2022 Additivity violation of the regularized minimum output entropy. Zbl 1503.46050 Collins, Benoît; Youn, Sang-Gyun 1 2022 Concentration estimates for random subspaces of a tensor product and application to quantum information theory. Zbl 1507.81055 Collins, Benoît; Parraud, Félix 1 2022 Matrix models for \(\varepsilon\)-free independence. Zbl 1475.46054 Charlesworth, Ian; Collins, Benoît 1 2021 Temperley-Lieb quantum channels. Zbl 1439.81059 Brannan, Michael; Collins, Benoît; Lee, Hun Hee; Youn, Sang-Gyun 8 2020 Characterization of equivariant maps and application to entanglement detection. Zbl 1461.15002 Bardet, Ivan; Collins, Benoît; Sapra, Gunjan 4 2020 Universal consistency of the \(k\)-NN rule in metric spaces and Nagata dimension. Zbl 1455.62123 Collins, Benoît; Kumari, Sushma; Pestov, Vladimir G. 1 2020 Entanglement and the Temperley-Lieb category. Zbl 1445.81011 Brannan, Michael; Collins, Benoît 1 2020 Eigenvalues of random lifts and polynomials of random permutation matrices. Zbl 1446.60004 Bordenave, Charles; Collins, Benoît 15 2019 The spectral edge of unitary Brownian motion. Zbl 1384.15009 Collins, Benoît; Dahlqvist, Antoine; Kemp, Todd 14 2018 Highly entangled, non-random subspaces of tensor products from quantum groups. Zbl 1386.81096 Brannan, Michael; Collins, Benoît 11 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 8 2018 The PPT square conjecture holds generically for some classes of independent states. Zbl 1407.81019 Collins, Benoît; Yin, Zhi; Zhong, Ping 6 2018 Free probability for purely discrete eigenvalues of random matrices. Zbl 1407.46056 Collins, Benoit; Hasebe, Takahiro; Sakuma, Noriyoshi 6 2018 Haagerup’s inequality and additivity violation of the minimum output entropy. Zbl 1402.46045 Collins, Benoît 5 2018 Semiclassical asymptotics of \(\mathrm {GL}_N(\mathbb C)\) tensor products and quantum random matrices. Zbl 1404.22032 Collins, Benoît; Novak, Jonathan; Śniady, Piotr 5 2018 Dual bases in Temperley-Lieb algebras, quantum groups, and a question of Jones. Zbl 1412.46078 Brannan, Michael; Collins, Benoît 2 2018 The Connes embedding property for quantum group von Neumann algebras. Zbl 1371.46057 Brannan, Michael; Collins, Benoît; Vergnioux, Roland 20 2017 Weingarten calculus via orthogonality relations: new applications. Zbl 1375.60018 Collins, Benoît; Matsumoto, Sho 7 2017 Random and free positive maps with applications to entanglement detection. Zbl 1405.81018 Collins, Benoît; Hayden, Patrick; Nechita, Ion 7 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 2 2017 \({\ast}\)-freeness in finite tensor products. Zbl 1369.46059 Collins, Benoit; Gaudreau Lamarre, Pierre Yves 2 2017 Convex set of quantum states with positive partial transpose analysed by hit and run algorithm. Zbl 1370.81037 Szymański, Konrad; Collins, Benoit; Szarek, Tomasz; Życzkowski, Karol 1 2017 Random matrix techniques in quantum information theory. Zbl 1330.81054 Collins, Benoît; Nechita, Ion 26 2016 Almost one bit violation for the additivity of the minimum output entropy. Zbl 1333.81065 Belinschi, Serban T.; Collins, Benoît; Nechita, Ion 9 2016 Estimates for compression norms and additivity violation in quantum information. Zbl 1325.46068 Collins, Benoît; Fukuda, Motohisa; Zhong, Ping 5 2015 On the convergence of output sets of quantum channels. Zbl 1397.94037 Collins, Benoît; Fukuda, Motohisa; Nechita, Ion 4 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. 1 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 33 2014 Liberation of projections. Zbl 1297.46045 Collins, Benoît; Kemp, Todd 13 2014 Integration of invariant matrices and moments of inverses of Ginibre and Wishart matrices. Zbl 1286.60005 Collins, Benoît; Matsumoto, Sho; Saad, Nadia 5 2014 Numerical range for random matrices. Zbl 1307.15055 Collins, Benoît; Gawron, Piotr; Litvak, Alexander E.; Życzkowski, Karol 2 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 2 2014 A maximality result for orthogonal quantum groups. Zbl 1291.46069 Banica, Teodor; Bichon, Julien; Collins, Benoît; Curran, Stephen 10 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 7 2013 Low entropy output states for products of random unitary channels. Zbl 1270.15023 Collins, Benoît; Fukuda, Motohisa; Nechita, Ion 6 2013 Area law for random graph states. Zbl 1272.81027 Collins, Benoît; Nechita, Ion; Życzkowski, Karol 5 2013 Eigenvectors and eigenvalues in a random subspace of a tensor product. Zbl 1276.15007 Belinschi, Serban; Collins, Benoît; Nechita, Ion 13 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 10 2012 The absolute positive partial transpose property for random induced states. Zbl 1260.60014 Collins, Benoit; Nechita, Ion; Ye, Deping 10 2012 Free Bessel laws. Zbl 1218.46040 Banica, T.; Belinschi, S. T.; Capitaine, M.; Collins, B. 44 2011 Generating random density matrices. Zbl 1317.81041 Życzkowski, Karol; Penson, Karol A.; Nechita, Ion; Collins, Benoît 37 2011 Gaussianization and eigenvalue statistics for random quantum channels. III. Zbl 1221.81035 Collins, Benoît; Nechita, Ion 21 2011 Random quantum channels. II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems. Zbl 1203.81022 Collins, Benoît; Nechita, Ion 18 2011 On polynomial integrals over the orthogonal group. Zbl 1231.05282 Banica, Teodor; Collins, Benoit; Schlenker, Jean-Marc 10 2011 Free products of sofic groups with amalgamation over monotileably amenable groups. Zbl 1242.43003 Collins, Benoit; Dykema, Kenneth J. 5 2011 A nonconvex asymptotic quantum Horn body. Zbl 1257.15013 Collins, Benoît; Dykema, Kenneth J. 1 2011 Random quantum channels. I: Graphical calculus and the Bell state phenomenon. Zbl 1191.81050 Collins, Benoît; Nechita, Ion 34 2010 Random graph states, maximal flow and Fuss-Catalan distributions. Zbl 1193.81031 Collins, Benoît; Nechita, Ion; Życzkowski, Karol 20 2010 On orthogonal matrices maximizing the 1-norm. Zbl 1228.15013 Banica, Teodor; Collins, Benoît; Schlenker, Jean-Marc 9 2010 Eigenvalue and entropy statistics for products of conjugate random quantum channels. Zbl 1229.81044 Collins, Benoît; Nechita, Ion 9 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. 9 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 2 2010 On some properties of orthogonal Weingarten functions. Zbl 1304.22007 Collins, Benoît; Matsumoto, Sho 31 2009 Asymptotics of unitary and orthogonal matrix integrals. Zbl 1184.15024 Collins, Benoît; Guionnet, Alice; Maurel-Segala, Edouard 24 2009 Spectral analysis of the free orthogonal matrix. Zbl 1179.46056 Banica, Teodor; Collins, Benoit; Zinn-Justin, Paul 13 2009 Representations of Lie groups and random matrices. Zbl 1170.22005 Collins, Benoît; Śniady, Piotr 11 2009 Homology of free quantum groups. Zbl 1170.46063 Collins, Benoît; Härtel, Johannes; Thom, Andreas 9 2009 On a reduction procedure for Horn inequalities in finite von Neumann algebras. Zbl 1181.46045 Collins, Benoît; Dykema, Ken 6 2009 Quantum permutation groups: a survey. Zbl 1140.46329 Banica, Teodor; Bichon, Julien; Collins, Benoît 20 2008 Integration over the Pauli quantum group. Zbl 1152.46316 Banica, Teodor; Collins, Benoît 13 2008 Borel theorems for random matrices from the classical compact symmetric spaces. Zbl 1149.15016 Collins, Benoît; Stolz, Michael 12 2008 A linearization of Connes’ embedding problem. Zbl 1162.46032 Collins, Benoît; Dykema, Ken 11 2008 The hyperoctahedral quantum group. Zbl 1185.46046 Banica, Teodor; Bichon, Julien; Collins, Benoît 47 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 40 2007 Integration over compact quantum groups. Zbl 1129.46058 Banica, Teodor; Collins, Benoît 36 2007 Integration over quantum permutation groups. Zbl 1170.46059 Banica, Teodor; Collins, Benoît 28 2007 New scaling of Itzykson-Zuber integrals. Zbl 1120.46051 Collins, Benoît; Śniady, Piotr 13 2007 Integration with respect to the Haar measure on unitary, orthogonal and symplectic group. Zbl 1108.60004 Collins, Benoît; Śniady, Piotr 167 2006 Product of random projections, Jacobi ensembles and universality problems arising from free probability. Zbl 1100.46036 Collins, Benoît 52 2005 Martin boundary theory of some quantum random walks. Zbl 1051.31005 Collins, Benoît 6 2004 Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability. Zbl 1049.60091 Collins, Benoît 141 2003 all cited Publications top 5 cited Publications all top 5 Cited by 728 Authors 52 Banica, Teodor 51 Collins, Benoît 31 Nechita, Ion 14 Guionnet, Alice 11 Brannan, Michael 11 Mingo, James A. 11 Speicher, Roland 11 Weber, Moritz 10 Fukuda, Motohisa 10 Życzkowski, Karol 9 Bichon, Julien 9 Chirvăsitu, Alexandru 9 Matsumoto, Sho 9 Novaes, Marcel 9 Skalski, Adam G. 8 Benaych-Georges, Florent 8 Curran, Stephen Robert 8 Vergnioux, Roland 7 Forrester, Peter J. 7 Magee, Michael 7 Śniady, Piotr 7 Youn, Sang-Gyun 6 Arizmendi, Octavio 6 Belinschi, Serban Teodor 6 Franz, Uwe 6 Freslon, Amaury 6 Gorin, Vadim 6 Jiang, Tiefeng 6 Popa, Mihai 6 Puder, Doron 6 Ueda, Yoshimichi 5 Bercovici, Hari 5 Cunden, Fabio Deelan 5 Dahlqvist, Antoine 5 Demni, Nizar 5 Dykema, Kenneth J. 5 Erdős, László 5 Gromada, Daniel 5 Gurau, Razvan Gheorghe 5 Hamdi, Tarek 5 Klep, Igor 5 Lee, Hun Hee 5 Rouault, Alain 4 Aubrun, Guillaume 4 Bao, Zhigang 4 Capitaine, Mireille 4 Goswami, Debashish 4 Guta, Madalin I. 4 Hasebe, Takahiro 4 Kemp, Todd A. 4 Kieburg, Mario 4 Li, Wing Suet 4 Maïda, Mylène 4 Młotkowski, Wojciech 4 Novak, Jonathan I. 4 Parraud, Félix 4 Pisier, Gilles 4 Raum, Sven 4 Schlenker, Jean-Marc 4 Schmidt, Simon 4 Schnelli, Kevin 4 Zhang, Lin 4 Zhong, Ping 3 Acharya, Anirudh 3 Bryc, Włodzimierz 3 Cébron, Guillaume 3 Cong, Shuang 3 Dartois, Stéphane 3 Das, Biswarup 3 Eisert, Jens 3 Fan, Zhou 3 Fei, Shaoming 3 Gamboa, Fabrice 3 Götze, Friedrich 3 Harrow, Aram Wettroth 3 Hayase, Tomohiro 3 Hayden, Patrick M. 3 Hiai, Fumio 3 Huang, Jiaoyang 3 Józiak, Paweł 3 Kasprzak, Paweł 3 Kudler-Flam, Jonah 3 Kyed, David 3 Kypraios, Theodore 3 Lemeux, François 3 Lenczewski, Romuald 3 Liu, Dangzheng 3 Mohan, Manil Thankamani 3 Nagel, Jan 3 Oliveira, Lucas H. 3 Palazuelos, Carlos 3 Penson, Karol A. 3 Procesi, Claudio 3 Puchała, Zbigniew 3 Rivasseau, Vincent 3 Sakuma, Noriyoshi 3 Slater, Paul B. 3 Szarek, Stanislaw Jerzy 3 Szpojankowski, Kamil 3 Verdon, Dominic ...and 628 more Authors all top 5 Cited in 153 Serials 49 Communications in Mathematical Physics 43 Journal of Mathematical Physics 32 Journal of Physics A: Mathematical and Theoretical 29 Random Matrices: Theory and Applications 26 Journal of High Energy Physics 25 Journal of Functional Analysis 20 Advances in Mathematics 19 Probability Theory and Related Fields 18 Journal of Theoretical Probability 13 Transactions of the American Mathematical Society 13 Infinite Dimensional Analysis, Quantum Probability and Related Topics 13 Quantum Information Processing 11 Journal of Statistical Physics 10 Letters in Mathematical Physics 10 Proceedings of the American Mathematical Society 10 Linear Algebra and its Applications 9 New Journal of Physics 8 Journal of Geometry and Physics 8 Advances in Applied Mathematics 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Journal of Combinatorial Theory. Series A 7 Annales Mathématiques Blaise Pascal 7 Electronic Journal of Probability 6 The Annals of Statistics 6 International Journal of Mathematics 6 Annales Henri Poincaré 6 Journal of Noncommutative Geometry 5 Annales de l’Institut Fourier 5 The Annals of Probability 5 Journal für die Reine und Angewandte Mathematik 4 Glasgow Mathematical Journal 4 Indiana University Mathematics Journal 4 Journal of Multivariate Analysis 4 Mathematische Annalen 4 Geometric and Functional Analysis. GAFA 4 Journal of Algebraic Combinatorics 4 Complex Analysis and Operator Theory 4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 3 Communications on Pure and Applied Mathematics 3 Israel Journal of Mathematics 3 Colloquium Mathematicum 3 Inventiones Mathematicae 3 The Annals of Applied Probability 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 The Electronic Journal of Combinatorics 3 Electronic Communications in Probability 3 Annals of Mathematics. Second Series 3 Journal of Statistical Mechanics: Theory and Experiment 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Analysis & PDE 2 Discrete Mathematics 2 Journal of Mathematical Analysis and Applications 2 Nuclear Physics. B 2 Physics Letters. A 2 Acta Mathematica 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Duke Mathematical Journal 2 Illinois Journal of Mathematics 2 Publications Mathématiques 2 Journal of Algebra 2 Journal of Approximation Theory 2 Journal of the London Mathematical Society. Second Series 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 L’Enseignement Mathématique. 2e Série 2 Expositiones Mathematicae 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Journal of Mathematical Sciences (New York) 2 Selecta Mathematica. New Series 2 Documenta Mathematica 2 The Ramanujan Journal 2 Open Systems & Information Dynamics 2 Positivity 2 Journal of the Institute of Mathematics of Jussieu 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Operators and Matrices 2 Kyoto Journal of Mathematics 2 Algebraic Combinatorics 2 Probability and Mathematical Physics 1 International Journal of Modern Physics B 1 Classical and Quantum Gravity 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 International Journal of Theoretical Physics 1 Linear and Multilinear Algebra 1 Physics Letters. B 1 Physics Reports 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Reviews in Mathematical Physics 1 Theory of Probability and its Applications 1 Fortschritte der Physik 1 American Journal of Mathematics 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica ...and 53 more Serials all top 5 Cited in 51 Fields 249 Probability theory and stochastic processes (60-XX) 243 Functional analysis (46-XX) 221 Quantum theory (81-XX) 199 Linear and multilinear algebra; matrix theory (15-XX) 90 Combinatorics (05-XX) 76 Group theory and generalizations (20-XX) 41 Associative rings and algebras (16-XX) 40 Operator theory (47-XX) 40 Statistics (62-XX) 39 Information and communication theory, circuits (94-XX) 38 Nonassociative rings and algebras (17-XX) 38 Statistical mechanics, structure of matter (82-XX) 37 Topological groups, Lie groups (22-XX) 22 Special functions (33-XX) 20 Computer science (68-XX) 20 Relativity and gravitational theory (83-XX) 19 Abstract harmonic analysis (43-XX) 19 Global analysis, analysis on manifolds (58-XX) 15 Measure and integration (28-XX) 14 Algebraic geometry (14-XX) 14 Category theory; homological algebra (18-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Integral transforms, operational calculus (44-XX) 11 Numerical analysis (65-XX) 8 Number theory (11-XX) 7 Differential geometry (53-XX) 7 Manifolds and cell complexes (57-XX) 5 Partial differential equations (35-XX) 5 Convex and discrete geometry (52-XX) 5 Operations research, mathematical programming (90-XX) 4 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 4 Geometry (51-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 \(K\)-theory (19-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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