Equidistribution of Affine Random Walks on Some Nilmanifolds

DOI10.1007/978-3-031-05331-3_7OpenAlexW4312940114MaRDI QIDQ5886426

Weikun He, Tsviqa Lakrec, Elon Lindenstrauss

Publication date: 5 April 2023

Published in: Analysis at Large (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.06670

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Discrete-time Markov processes on general state spaces (60J05) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (1)

Expanding measures: Random walks and rigidity on homogeneous spaces

Cites Work

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• Stationary measures and invariant subsets of homogeneous spaces. III.
• Random subgroups of linear groups are free.
• Almost sure functional central limit theorem for the linear random walk on the torus
• Semigroup action on \(\mathbb T^n\)
• Linear random walks on the torus
• Random walks on linear groups satisfying a Schubert condition
• Fourier dimension and spectral gaps for hyperbolic surfaces
• Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus
• Random products of automorphisms of Heisenberg nilmanifolds and Weil’s representation
• Quantitative Density under Higher Rank Abelian Algebraic Toral Actions
• On the spectral theory of groups of affine transformations of compact nilmanifolds
• Sharp ergodic theorems for group actions and strong ergodicity
• Orbits of linear group actions, random walks on homogeneous spaces and toral automorphisms

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