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arxiv: 1312.4610 · v4 · pith:L5DXBANPnew · submitted 2013-12-17 · 🧮 math.PR

Walking within growing domains: recurrence versus transience

classification 🧮 math.PR
keywords domainsgrowingrecurrencetransienceversusbrowniancriteriond-dimensional
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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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