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Shift-coupling and a zero-one law for random walk in random environment - MaRDI portal

Shift-coupling and a zero-one law for random walk in random environment (Q1323515)

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scientific article; zbMATH DE number 579589
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Shift-coupling and a zero-one law for random walk in random environment
scientific article; zbMATH DE number 579589

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    Shift-coupling and a zero-one law for random walk in random environment (English)
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    15 January 1995
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    The paper discusses several aspects of shift-coupling for random walks in random environments. Three results on coupling of random walks in a random environment are formulated and proved. The starting point is that the invariant \(\sigma\)-field of the random walk (in a fixed environment) is trivial iff two random walks, starting from different sites, can be successfully shift-coupled.
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    regeneration
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    renewal theory
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    shift-coupling for random walks in random environments
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