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Frog models on trees through renewal theory

Published online by Cambridge University Press:  16 November 2018

Sandro Gallo
Affiliation:
UFSCar
Pablo M. Rodriguez
Affiliation:
USP
Corresponding
E-mail address:

Abstract

We study a class of growing systems of random walks on regular trees, known as frog models with geometric lifetime in the literature. With the help of results from renewal theory, we derive new bounds for their critical parameters. Our approach also improves the existing bounds for the critical parameter of a percolation model on trees known as cone percolation.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 2018 

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References

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