Recurrence and ergodicity of random walks on linear groups and on homogeneous spaces

DOI10.1017/S0143385711000149zbMath1260.37009arXiv0908.0637MaRDI QIDQ3166355

Yves Guivarc'h, C. Robinson Edward Raja

Publication date: 11 October 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0637

zbMATH Keywords

ergodicitylinear groupsquadratic growthrandom walks on groupsrecurrence property

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Linear algebraic groups over local fields and their integers (20G25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (7)

Harmonic operators of ergodic quantum group actions ⋮ Local limit theorem for a Markov additive process on with a null recurrent internal Markov chain ⋮ DISTALITY OF CERTAIN ACTIONS ON -ADIC SPHERES ⋮ Spread out random walks on homogeneous spaces ⋮ Un critère de récurrence pour certains espaces homogènes ⋮ Lyapunov exponents and other properties of $N$-groups ⋮ Some properties of distal actions on locally compact groups

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