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1999 The Longtime Behavior of Branching Random Walk in a Catalytic Medium
Andreas Greven, Achim Klenke, Anton Wakolbinger
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Electron. J. Probab. 4: 1-80 (1999). DOI: 10.1214/EJP.v4-49


Consider a countable collection of particles located on a countable group, performing a critical branching random walk where the branching rate of a particle is given by a random medium fluctuating both in space and time. Here we study the case where the time-space random medium (called catalyst) is also a critical branching random walk evolving autonomously while the local branching rate of the reactant process is proportional to the number of catalytic particles present at a site. The catalyst process and the reactant process typically have different underlying motions.


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Andreas Greven. Achim Klenke. Anton Wakolbinger. "The Longtime Behavior of Branching Random Walk in a Catalytic Medium." Electron. J. Probab. 4 1 - 80, 1999.


Accepted: 6 April 1999; Published: 1999
First available in Project Euclid: 4 March 2016

zbMATH: 0930.60090
MathSciNet: MR1690316
Digital Object Identifier: 10.1214/EJP.v4-49

Primary: 60K35

Keywords: Branching random walk in random medium , interacting particle systems , Random media , reactant-catalyst systems

Vol.4 • 1999
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