Random walks on finite volume homogeneous spaces

DOI10.1007/s00222-011-0328-5zbMath1244.60009OpenAlexW1967916023WikidataQ56005108 ScholiaQ56005108MaRDI QIDQ663302

Yves Benoist, Jean-François Quint

Publication date: 14 February 2012

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-011-0328-5

zbMATH Keywords

contraction principlerecurrent random walkshomogeneous spaces with finite volume

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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Cites Work

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• Markov chains and stochastic stability
• Stationary measures and invariant subsets of homogeneous spaces
• Instability in invariant theory
• Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups
• Local limit theorems and equidistribution of random walks on the Heisenberg group
• Central limit theorem on hyperbolic groups
• General Irreducible Markov Chains and Non-Negative Operators
• On the Stochastic Matrices Associated with Certain Queuing Processes

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