@article{EJP49,
author = {Andreas Greven and Achim Klenke and Anton Wakolbinger},
title = {The Longtime Behavior of Branching Random Walk in a Catalytic Medium},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {4},
year = {1999},
keywords = {Branching random walk in random medium, reactant-catalyst systems, interacting particle Systems, random media.},
abstract = {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.},
pages = {no. 12, 1-80},
issn = {1083-6489},
doi = {10.1214/EJP.v4-49},
url = {http://ejp.ejpecp.org/article/view/49}}