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Random walk on the self-avoiding tree.

Abstract : We consider a modified version of the biased random walk on a tree constructed from the set of finite self-avoiding walks on the hexagonal lattice, and use it to construct probability measures on infinite self-avoiding walk. Under theses probability measures, we prove that the infinite self-avoiding walks have the Russo-Seymour-Welsh property of the exploration curve of the critical Bernoulli percolation.
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https://hal.archives-ouvertes.fr/hal-02525438
Contributor : Cong Bang Huynh <>
Submitted on : Tuesday, April 7, 2020 - 11:59:47 PM
Last modification on : Sunday, April 12, 2020 - 3:30:08 PM

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  • HAL Id : hal-02525438, version 2

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Cong Bang Huynh. Random walk on the self-avoiding tree.. 2020. ⟨hal-02525438v2⟩

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