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2010 Localization for a Class of Linear Systems
Yukio Nagahata, Nobuo Yoshida
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Electron. J. Probab. 15: 636-653 (2010). DOI: 10.1214/EJP.v15-757

Abstract

We consider a class of continuous-time stochastic growth models on d-dimensional lattice with non-negative real numbers as possible values per site. The class contains examples such as binary contact path process and potlatch process. We show the equivalence between the slow population growth and localization property that the time integral of the replica overlap diverges. We also prove, under reasonable assumptions, a localization property in a stronger form that the spatial distribution of the population does not decay uniformly in space.

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Yukio Nagahata. Nobuo Yoshida. "Localization for a Class of Linear Systems." Electron. J. Probab. 15 636 - 653, 2010. https://doi.org/10.1214/EJP.v15-757

Information

Accepted: 17 May 2010; Published: 2010
First available in Project Euclid: 1 June 2016

zbMATH: 1226.60134
MathSciNet: MR2650776
Digital Object Identifier: 10.1214/EJP.v15-757

Subjects:
Primary: 60K35
Secondary: 60J25, 60J75

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Vol.15 • 2010
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