The critical probability for the frog model is not a monotonic function of the graph-Reference-Cited by-同舟云学术

The critical probability for the frog model is not a monotonic function of the graph

Published:2004-03 Issue:1 Volume:41 Page:292-298
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Fontes L. R.,Machado F. P.,Sarkar A.

Abstract

We show that the critical probability for the frog model on a graph is not a monotonic function of the graph. This answers a question of Alves, Machado and Popov. The nonmonotonicity is unexpected as the frog model is a percolation model.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference4 articles.

1. Percolation Beyond $Z^d$, Many Questions And a Few Answers

2. Phase Transition for the Frog Model

3. Strict monotonicity for critical points in percolation and ferromagnetic models;Grimmett;J. Statist. Phys.,1991

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