Radon stationary measures for a random walk on \(\mathbb{T}^d\times\mathbb{R}\)

DOI10.5802/aif.3519zbMath1519.37048arXiv2006.05742OpenAlexW4288690683MaRDI QIDQ6040260

Timothée Bénard

Publication date: 24 May 2023

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05742

zbMATH Keywords

random walksstationary measuresrepresentations of semisimple groups

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Random iteration (37H12)

Cites Work

• Stationary measures and closed invariants on homogeneous spaces
• Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
• Dynamics on the space of 2-lattices in 3-space
• Random Walks on Reductive Groups
• Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus
• Random Walk: A Modern Introduction
• Stationary measures and invariant subsets of homogeneous spaces (II)
• Measure rigidity for random dynamics on surfaces and related skew products
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