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2011 Branching Random Walks in Random Environment are Diffusive in the Regular Growth Phase
Hadrian Heil, Nakashima Makoto, Yoshida Nobuo
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Electron. J. Probab. 16(none): 1318-1340 (2011). DOI: 10.1214/EJP.v16-922

Abstract

We treat branching random walks in random environment using the framework of Linear Stochastic Evolution. In spatial dimensions three or larger, we establish diusive behaviour in the entire growth phase. This can be seen through a Central Limit Theorem with respect to the population density as well as through an invariance principle for a path measure we introduce.

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Hadrian Heil. Nakashima Makoto. Yoshida Nobuo. "Branching Random Walks in Random Environment are Diffusive in the Regular Growth Phase." Electron. J. Probab. 16 1318 - 1340, 2011. https://doi.org/10.1214/EJP.v16-922

Information

Accepted: 2 August 2011; Published: 2011
First available in Project Euclid: 1 June 2016

zbMATH: 1244.60100
MathSciNet: MR2827461
Digital Object Identifier: 10.1214/EJP.v16-922

Subjects:
Primary: 60J80
Secondary: 60F17, 60K35, 60K37, 82D30

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Vol.16 • 2011
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