Products of random matrices: a dynamical point of view

DOI10.4310/PAMQ.2021.V17.N3.A4MaRDI QIDQ2031893

Tien-Cuong Dinh, Lucas Kaufmann, Hao Wu

Publication date: 15 June 2021

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08461

zbMATH Keywords

central limit theoremstationary measureholomorphic dynamics

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Discrete subgroups of Lie groups (22E40) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random matrices (algebraic aspects) (15B52) Higher-dimensional holomorphic and meromorphic dynamics (37F80)

Related Items (9)

Berry-Esseen type bounds for the matrix coefficients and the spectral radius of the left random walk on \(\mathrm{GL}_d(\mathbb{R})\) ⋮ Recurrence in the dynamics of meromorphic correspondences and holomorphic semigroups ⋮ Berry-Esseen bounds with targets and local limit theorems for products of random matrices ⋮ Decay of Fourier coefficients for Furstenberg measures ⋮ Large deviation expansions for the coefficients of random walks on the general linear group ⋮ Random walks on \(\mathrm{SL}_2({\mathbb{C}})\): spectral gap and limit theorems ⋮ BERRY–ESSEEN BOUND AND LOCAL LIMIT THEOREM FOR THE COEFFICIENTS OF PRODUCTS OF RANDOM MATRICES ⋮ Lebesgue points of functions in the complex Sobolev space ⋮ Dynamics of polynomial semigroups: measures, potentials, and external fields

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