Random walks in random environments of metric groups

DOI10.1007/BF02675797zbMath0969.60011OpenAlexW2005268803MaRDI QIDQ1581465

Utkir A. Rozikov

Publication date: 2 October 2001

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02675797

zbMATH Keywords

random environmentLyapunov exponentrandom walk on groupstransience condition

Mathematics Subject Classification ID

Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

A description of harmonic functions via properties of the group representation of the Cayley tree.

Cites Work

• Recurrence and transience criteria for random walk in a random environment
• Symmetric random walks in random environments
• A discrete stochastic integral inequality and balanced random walk in a random environment
• Simple random walk on the line in random environment
• Map of fixed points and Lyapunov functions for one class of discrete dynamical systems
• Limit theorems for a random walk in a random environment
• Random walks in a random environment
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