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On The Zero-one Law And The Law Of Large Numbers For A Random Walk In A Mixing Random Environment..pdf

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Preview of On the zero-one law and the law of large numbers for a random walk in a mixing random environment.
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It also shows that for such walks, the zero-one law implies a law of large numbers. The main results are Theorem 1, which establishes a law of large numbers under certain conditions, and Theorem 2, which states that if the directional 0-1 law holds, then there exists a deterministic vector v such that the law of large numbers holds. A corollary improves previous results by relaxing the "Kalikow condition" into a directional ballistic transience condition.

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It also shows that for such walks, the zero-one law implies a law of large numbers.

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  • Pages: 9
  • Language: EN
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