DMTCS Proceedings, Discrete Random Walks, DRW'03

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DMTCS Conference vol AC (2003), pp. 277-288


Discrete Random Walks, DRW'03

Cyril Banderier and Christian Krattenthaler (eds.)

DMTCS Conference Volume AC (2003), pp. 277-288

author: Serguei Yu. Popov
title: Frogs and some other interacting random walks models
keywords: simple random walk, critical probability, shape theorem, recurrence
abstract: We review some recent results for a system of simple random walks on graphs, known as frog model. Also, we discuss several modifications of this model, and present a few open problems. A simple version of the frog model can be described as follows: There are active and sleeping particles living on some graph. Each active particle performs a simple random walk with discrete time and at each moment it may disappear with probability
. When an active particle hits a sleeping particle, the latter becomes active.
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reference: Serguei Yu. Popov (2003), Frogs and some other interacting random walks models, in Discrete Random Walks, DRW'03, Cyril Banderier and Christian Krattenthaler (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AC, pp. 277-288
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