Random walks with bounded first moment on finite-volume spaces

DOI10.1007/S00039-022-00607-6zbMath1503.37009arXiv2111.14187OpenAlexW3217595342WikidataQ114231701 ScholiaQ114231701MaRDI QIDQ2166783

Nicolas de Saxcé, Timothée Bénard

Publication date: 25 August 2022

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.14187

zbMATH Keywords

homogeneous spacesrandom walksrecurrence

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Homogeneous spaces (22F30) General theory of stochastic processes (60G07) Discrete subgroups of Lie groups (22E40) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Homogeneous flows (37A17)

Related Items (3)

Expanding measures: Random walks and rigidity on homogeneous spaces ⋮ Equidistribution of mass for random processes on finite-volume spaces ⋮ Stationary probability measures on projective spaces 1: block-Lyapunov dominated systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stationary measures and invariant subsets of homogeneous spaces. III.
• Stationary measures and closed invariants on homogeneous spaces
• Random walks on finite volume homogeneous spaces
• Markov chains and stochastic stability
• Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
• Introduction to random walks on homogeneous spaces
• Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups
• Local limit theorems and equidistribution of random walks on the Heisenberg group
• Random Walks on Reductive Groups
• The Strong Law of Large Numbers for a Class of Markov Chains
• Distribution rigidity for unipotent actions on homogeneous spaces
• Stationary measures and invariant subsets of homogeneous spaces (II)
• On the Stochastic Matrices Associated with Certain Queuing Processes

This page was built for publication: Random walks with bounded first moment on finite-volume spaces