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2014 Walking within growing domains: recurrence versus transience
Amir Dembo, Ruojun Huang, Vladas Sidoravicius
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Electron. J. Probab. 19: 1-20 (2014). DOI: 10.1214/EJP.v19-3272

Abstract

For normally reflected Brownian motion and for simple random walk on independently growing in time $d$-dimensional domains, $d\ge3$, 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. "Walking within growing domains: recurrence versus transience." Electron. J. Probab. 19 1 - 20, 2014. https://doi.org/10.1214/EJP.v19-3272

Information

Accepted: 6 November 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1307.60149
MathSciNet: MR3275858
Digital Object Identifier: 10.1214/EJP.v19-3272

Subjects:
Primary: 60K37
Secondary: 60K35 , 82C24

Keywords: Diffusion limited aggregation , growing domains , percolation , recurrence , reflected Brownian motion , Reinforced random walk

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