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 (13件):
2025 - 2030 ランダム行列理論の新展開:自由確率論, 非可換解析学とPDEからの視点
2023 - 2028 Non backtracking operators and its applications
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
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
2015 - 2019 自由確率論の研究とその確率論・組合せ論・表現論への応用
2015 - 2019 作用素値自由確率論の研究とランダム行列への応用
2016 - 2018 Random Matrix Theory and its applications(国際共同研究強化)
2014 - 2018 Random Matrix Theory and its applications
2003 - 2004 非可換確率論と調和解析及びその作用素環論とランダム行列理論への応用
全件表示
論文 (114件):
Qian Chen, Benoît Collins, Omar Fawzi. Symmetry reduction for testing k-block-positivity via extendibility. Journal of Physics A: Mathematical and Theoretical. 2025
Tomohiro Hayase, Benoit Collins, Nakamasa Inoue. Free Random Projection for In-Context Reinforcement Learning. CoRR. 2025. abs/2504.06983
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, Thierry Giordano, Ryosuke Sato. Variations on quantum de Finetti theorems and operator valued Martin boundaries: a Choquet-Deny approach. arXiv preprint arXiv:2402.09713. 2024
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)