Summary
Let θ be an ergodic and conservative non-singular transformation of (Ω, Σ,m) (thedynamic environment), let μ w be a random probability on a locally compact second countable groupG, and define
Conditions for the convergence lim n→∞∥v (n)ω *(f−δt*f)∥1=0 for a.e. ω and everyf∈L 1(G) andt∈G, are given, whenG is Abelian or compact.
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Research partially supported by the Israel Ministry of Science
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Lin, M., Rubshtein, BZ. & Wittmann, R. Limit theorems for random walks with dynamical random transitions. Probab. Th. Rel. Fields 100, 285–300 (1994). https://doi.org/10.1007/BF01193702
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DOI: https://doi.org/10.1007/BF01193702
Mathematics Subject Classification (1991)
- 60J15