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2011 A Remark on Localization for Branching Random Walks in Random Environment
Hadrian Heil, Makoto Nakashima
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Electron. Commun. Probab. 16: 323-336 (2011). DOI: 10.1214/ECP.v16-1603

Abstract

We prove a localization-result for branching random walks in random environment, namely that if the process does not die out, the most populated site will infinitely often contain more than a fixed percentage of the population. This had been proven already before by Hu and Yoshida, but it is possible to drop their assumption that particles may not die.

Citation

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Hadrian Heil. Makoto Nakashima. "A Remark on Localization for Branching Random Walks in Random Environment." Electron. Commun. Probab. 16 323 - 336, 2011. https://doi.org/10.1214/ECP.v16-1603

Information

Accepted: 22 June 2011; Published: 2011
First available in Project Euclid: 7 June 2016

zbMATH: 1225.60158
MathSciNet: MR2819656
Digital Object Identifier: 10.1214/ECP.v16-1603

Subjects:
Primary: 60K37
Secondary: 60J80, 60K35, 82D30

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