Relative complexity of random walks in random sceneries

DOI10.1214/11-AOP688zbMath1258.37004arXiv1001.1433OpenAlexW1973721780MaRDI QIDQ693714

Jon. Aaronson

Publication date: 10 December 2012

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1433

zbMATH Keywords

local timerandom walk in random scenerysymmetric stable process\([T, T^{-1}\)-transformation]Borodin theoremrelative complexityrelative entropy dimensionrelative isomorphism

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Functional limit theorems; invariance principles (60F17)

Related Items (5)

Packing topological entropy for amenable group actions ⋮ Scenery reconstruction for random walk on random scenery systems ⋮ Entropy dimension for deterministic walks in random sceneries ⋮ The boundary of the range of a random walk and the Følner property ⋮ Weak invariance principle for the local times of partial sums of Markov chains

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