Tubular recurrence

M.S. Keane; S.W.W. Rolles

doi:10.1023/A:1020855011898

Tubular recurrence

M.S. Keane, S.W.W. Rolles

Research output: Contribution to journal › Article › Academic › peer-review

12 Citations (Scopus)

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.

Original language	English
Pages (from-to)	207-221
Journal	Acta Mathematica Hungarica
Volume	97
Issue number	3
DOIs	https://doi.org/10.1023/A:1020855011898
Publication status	Published - 2002

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AB - 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.

U2 - 10.1023/A:1020855011898

DO - 10.1023/A:1020855011898

M3 - Article

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VL - 97

SP - 207

EP - 221

JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

IS - 3

ER -

Tubular recurrence

Abstract

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