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arXiv · 1312.4610

Walking within growing domains: recurrence versus transience

Amir Dembo·Ruojun Huang·Vladas Sidoravicius
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Abstract

For normally reflected Brownian motion and for simple random walk on independently growing in time d-dimensional domains, d>=3, we establish a sharp criterion for recurrence versus transience in terms of the growth rate.

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Amir Dembo, Ruojun Huang, Vladas Sidoravicius. 2013-12-17. Walking within growing domains: recurrence versus transience. https://arxiv.org/abs/1312.4610

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