Random walks on \(\mathrm{SL}_2({\mathbb{C}})\): spectral gap and limit theorems

DOI10.1007/s00440-023-01191-yzbMath1517.60030arXiv2106.04019OpenAlexW4319878245WikidataQ122740040 ScholiaQ122740040MaRDI QIDQ6158592

Hao Wu, Tien-Cuong Dinh, Lucas Kaufmann

Publication date: 20 June 2023

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.04019

zbMATH Keywords

random matricesspectral gaplocal limit theoremrandom walks on Lie groupsBerry-Eseen bound

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Sums of independent random variables; random walks (60G50) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

Decay of Fourier coefficients for Furstenberg measures

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