COLLINS Benoit

コリンズブノワ | Collins Benoit

所属機関・部署：
ホームページURL (1件)： https://www.math.kyoto-u.ac.jp/~collins/

研究分野 (4件)：応用数学、統計数学 , 数学基礎 , 数理解析学 , 数理解析学

研究キーワード (4件)： Quantum groups , Quantum Information Theory , Free Probability Theory , Random Matrix Theory

競争的資金等の研究課題 (10件)：

2023 - 2026 離散確率モデルのマクロな性質とそのスケール極限の解析
2021 - 2025 Random Matrix Theory: Free Probability Theory and beyond
2020 - 2023 巨大なランダムテンソルの漸近的挙動の研究
2017 - 2021 Random Matrix Theory and applications to Quantum Information Theory
2017 - 2020 Applications of Quantum Groups and Representation Theory to Quantum Information Theory

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論文 (111件)：

Charles Bordenave, Benoît Collins. Strong asymptotic freeness for independent uniform variables on compact groups associated to nontrivial representations. Inventiones mathematicae. 2024. 237. 1. 221-273
Benoît Collins. Moment methods on compact groups: Weingarten calculus and its applications. International Congress of Mathematicians. 2023. 3142-3164
Benoît Collins, Razvan Gurau, Luca Lionni. The Tensor Harish-Chandra-Itzykson-Zuber Integral II: Detecting Entanglement in Large Quantum Systems. Communications in Mathematical Physics. 2023
Collins, Beno{\^\i}t, Gurau, Razvan G, Lionni, Luca. The tensor Harish-Chandra-Itzykson-Zuber integral I: Weingarten calculus and a generalization of monotone Hurwitz numbers. Journal of the European Mathematical Society. 2023
Collins, Benôit, Lamarre, Pierre Yves Gaudreau, Male, Camille. Asymptotic freeness of unitary matrices in tensor product spaces for invariant states. Random Matrices Theory Appl. 2023

MISC (8件)：

Collins, Beno{\^\i}t, Fujie, Katsunori, Hasebe, Takahiro, Leid, Felix, Sakuma, Noriyoshi. Fluctuations of eigenvalues of a polynomial on Haar unitary and finite rank matrices. arXiv preprint arXiv:2309.15396. 2023
Bordenave, Charles, Collins, Benoit. Norm of matrix-valued polynomials in random unitaries and permutations. arXiv preprint arXiv:2304.05714. 2023
Benoit Collins. On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices. 2019
Benoit Collins. Additivity violation of the regularized Minimum Output Entropy. 2019
Timothy Cioppa, Benoit Collins. Matrix Units in the Symmetric Group Algebra, and Unitary Integration. arXiv preprint arXiv:1307.4766. 2013

講演・口頭発表等 (224件)：

TBA
(Functional Analysis Seminar, Institute for Advanced Study in Mathematics of HIT, Harbin, China 2022)
Matrix models for cyclic monotone and monotone independences
(SIMA 2022, CIMAT, Guanajuato, México 2022)
An introduction to Weingarten calculus
(seminar, the group of theoretical physics in Krakow, Poland (online) 2021)
A metric characterization of freeness
(Recent Developments in Operator Algebras 2021)
On the norm convergence of multi matrix random matrix models
(International Workshop on Operator Theory and its Applications, Lancaster University (online). 2021)

学歴 (1件)：

経歴 (6件)：

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委員歴 (5件)：

2013/03 - 2014/04 Head of the selection panel for all NSERC grant applications in mathematics in Canada (evaluation group 1508, NSERC Discovery Grant)
2011/01 - 2013/03 Natural Sciences and Engineering Research Council of Canada NSERC Discovery Grant
2010/10 - 2012/07 Romanian Innovation Council
2012/02 - 2012/06 Université de Franché Comte Associate professor hiring committee
2010 - 2011 Fonds de recherche du Québec - Nature et technologies (FRQNT) Bourses de recherche postdoctorale

受賞 (6件)：

2023 - 日本数学会 2023年度日本数学会賞秋季賞ランダム行列と自由確率論
2022 - International Congress of Mathematicians Invited speaker, virtual International Congress of Mathematicians.
2022 - Japan Society for the Promotion of Science Recipient of the 19th (FY2022) JSPS Prize
2013 - Takabe prize
2012 - G de B Robinson award

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所属学会 (1件)：

日本数学会

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