Mathematics – Probability
Scientific paper
2001-04-03
Mathematics
Probability
Scientific paper
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.
Alves O. S. M.
Machado Fábio P.
Popov Serguei Yu.
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