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arXiv · 1406.3764

Monotone interaction of walk and graph: recurrence versus transience

Amir Dembo·Ruojun Huang·Vladas Sidoravicius
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Abstract

We consider recurrence versus transience for models of random walks on domains of $\mathbb{Z}^d$, in which monotone interaction enforces domain growth as a result of visits by the walk (or probes it sent), to the neighborhood of domain boundary.

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Amir Dembo, Ruojun Huang, Vladas Sidoravicius. 2014-06-14. Monotone interaction of walk and graph: recurrence versus transience. https://arxiv.org/abs/1406.3764

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