Phase transition for the frog model

Abstract

We study a system of simple random walks on graphs, known as frog model. This model can be described as follows: There are active and sleeping particles living on some graph G. Each active particle performs a simple random walk with discrete time and at each moment it may disappear with probability 1-p. When an active particle hits a sleeping particle, the latter becomes active. Phase transition results and asymptotic values for critical parameters are presented for Z^d and regular trees.

References in corpus (2)

• The shape theorem for the frog model with random initial configuration
• The shape theorem for the frog model

Cited by in corpus (27)

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• Macroscopic flow out of a segment for Activated Random Walks in dimension 1
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