Discrete Random Walks, DRW'03
Cyril Banderier and Christian Krattenthaler (eds.)
DMTCS Conference Volume AC (2003), pp. 277288
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
1p
. 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. 277288 
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