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Tubular recurrence

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Abstract

We introduce the directed-edge-reinforced random walk and prove that the process is equivalent to a random walk in random environment. Using Oseledec"s multiplicative ergodic theorem, we obtain recurrence and transience criteria for random walks in random environment on graphs with a certain linear structure and apply them to directed-edge-reinforced random walks.

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Authors and Affiliations

  1. Mathematics Department, Wesleyan University, Middletown, CT, 06459, U.S.A.

    Michael S. Keane

  2. University of California dDepartment of Mathematics, Box 951555, Los Angeles, CA, 90095-1555, U.S.A

    Silke W. W. Rolles

Authors
  1. Michael S. Keane
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  2. Silke W. W. Rolles
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Keane, M.S., Rolles, S.W.W. Tubular recurrence. Acta Mathematica Hungarica 97, 207–221 (2002). https://doi.org/10.1023/A:1020855011898

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  • DOI: https://doi.org/10.1023/A:1020855011898

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