Renewal Theory and Retrospective Questions

1988 ◽  
Vol 37 (3) ◽  
pp. 412 ◽  
Author(s):  
Dirk Sikkel ◽  
Gerard Jelierse
Keyword(s):  
Renewal Theory

scholarly journals Frog models on trees through renewal theory

2018 ◽  
Vol 55 (3) ◽  
pp. 887-899 ◽  
Author(s):  
Sandro Gallo ◽  
Pablo M. Rodriguez
Keyword(s):  
Random Walks ◽  
Critical Parameter ◽  
Renewal Theory ◽  
Percolation Model ◽  
Critical Parameters

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.

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