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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

FROG MODELS ON TREES THROUGH RENEWAL THEORY

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Author(s):
Gallo, Sandro [1] ; Rodriguez, Pablo M. [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Sao Carlos, Dept Estat, Rodovia Washington Luiz, Km 235, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Av Trabalhador Sao Carlense 400, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: JOURNAL OF APPLIED PROBABILITY; v. 55, n. 3, p. 887-899, SEP 2018.
Web of Science Citations: 1
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. (AU)

FAPESP's process: 16/11648-0 - Limit theorems and phase transition results for information propagation models on graphs
Grantee:Pablo Martin Rodriguez
Support Opportunities: Regular Research Grants
FAPESP's process: 17/10555-0 - Stochastic modeling of interacting systems
Grantee:Fabio Prates Machado
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 15/09094-3 - Stochastic chains with long memory
Grantee:Alexsandro Giacomo Grimbert Gallo
Support Opportunities: Regular Research Grants