The random walk on upper triangular matrices over $$\mathbb {Z}/m \mathbb {Z}$$-Reference-Cited by-同舟云学术

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The random walk on upper triangular matrices over $$\mathbb {Z}/m \mathbb {Z}$$

Published:2023-09-27 Issue:3-4 Volume:187 Page:571-601
ISSN:0178-8051
Container-title:Probability Theory and Related Fields
language:en
Short-container-title:Probab. Theory Relat. Fields

Author:

Nestoridi Evita^ORCID,Sly Allan

Funder

John D. and Catherine T. MacArthur Foundation

Simons Foundation

National Science Foundation

Directorate for Mathematical and Physical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00440-023-01228-2.pdf

Reference22 articles.

1. André, C.A.M.: Basic sums of coadjoint orbits of the unitriangular group. J. Algebra 176(3), 959–1000 (1995)

2. André, C.A.M.: The regular character of the unitriangular group. J. Algebra 201(1), 1–52 (1998)

3. André, C.A.M.: Basic characters of the unitriangular group (for arbitrary primes). Proc. Amer. Math. Soc. 130(7), 1943–1954 (2002)

4. Arias-Castro, Ery, Diaconis, Persi, Stanley, Richard: A super-class walk on upper-triangular matrices. J. Algebra 278(2), 739–765 (2004)

5. Bump, D., Diaconis, P., Hicks, A., Miclo, L., Widom, H. (2017) An exercise (?) in Fourier Analysis on the Heisenberg group. In Annales de la Faculte des sciences de Toulouse: Mathematiques (Vol. 26, No. 2, pp. 263–288)

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