Geodesic
Frogs and some other interacting random walks models
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03), DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) (2003).

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We review some recent results for a system of simple random walks on graphs, known as \emphfrog 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 1-p. When an active particle hits a sleeping particle, the latter becomes active. 
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     author = {Popov, Serguei Yu.},
     title = {Frogs and some other interacting random walks models},
     journal = {Discrete mathematics & theoretical computer science},
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Popov, Serguei Yu. Frogs and some other interacting random walks models. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03), DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) (2003). doi : 10.46298/dmtcs.3328. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3328/

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