The spectral edge of unitary Brownian motion

Author:

Collins Benoît,Dahlqvist Antoine,Kemp Todd

Funder

Directorate for Mathematical and Physical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference50 articles.

1. Anderson, G.W., Guionnet, A., Zeitouni, O.: An Introduction to Random Matrices, vol. 118. Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge (2010)

2. Bai, Z. D.: Methodologies in spectral analysis of large-dimensional random matrices, a review. Stat. Sin. 9(3), 611–677 (1999). With comments by G. J. Rodgers and Jack W. Silverstein; and a rejoinder by the author

3. Bai, Z.D., Yin, Y.Q.: Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix. Ann. Probab. 16(4), 1729–1741 (1988)

4. Biane, P.: Free Brownian motion, free stochastic calculus and random matrices. Free Probability Theory (Waterloo, ON, 1995). Fields Institute Communications, vol. 12, pp. 1–19. American Mathematical Society, Providence (1997)

5. Biane, P.: Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems. J. Funct. Anal. 144(1), 232–286 (1997)

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Local law and rigidity for unitary Brownian motion;Probability Theory and Related Fields;2023-09-25

2. Summing free unitary Brownian motions with applications to quantum information;Letters in Mathematical Physics;2023-07-06

3. A new definition of rough paths on manifolds;Annales de la Faculté des sciences de Toulouse : Mathématiques;2022-10-28

4. On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices;Probability Theory and Related Fields;2022-01-23

5. Schur–Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2021-03

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3