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A note on vertex-reinforced random walks

Author

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  • Dai, Jack Jie

Abstract

A vertex-reinforced random walk on Z with exactly five points in its essential range exhibits the behavior described by Theorem 1.3 of Pemantle and Volkov (Ann. Probab. 27 (1999) 1368) almost surely.

Suggested Citation

  • Dai, Jack Jie, 2003. "A note on vertex-reinforced random walks," Statistics & Probability Letters, Elsevier, vol. 62(3), pages 275-280, April.
    • Handle: RePEc:eee:stapro:v:62:y:2003:i:3:p:275-280
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    Cited by:

    1. Stanislav Volkov, 2006. "Phase Transition in Vertex-Reinforced Random Walks on $${\mathbb{Z}}$$ with Non-linear Reinforcement," Journal of Theoretical Probability, Springer, vol. 19(3), pages 691-700, December.

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