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Author ID: collins.benoit Recent zbMATH articles by "Collins, Benoît"
Published as: Collins, Benoît; Collins, Benoit; Collins, B.
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

Publications by Year

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 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

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