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Stochastic models on random environments

Grant number: 20/02636-3
Support Opportunities:Scholarships in Brazil - Post-Doctorate
Effective date (Start): June 01, 2020
Effective date (End): November 30, 2023
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics - Probability
Principal Investigator:Luiz Renato Gonçalves Fontes
Grantee:Pablo Almeida Gomes
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:17/10555-0 - Stochastic modeling of interacting systems, AP.TEM
Associated scholarship(s):21/10170-7 - Analyses of phase transition: contact processes on random environments or under renewals, BE.EP.PD


The goal of this project is to study stochastic models on random environments. The main topic is the long-time behavior of random walks on interacting particle systems. This subject has been of large interest in the probabilistic community and exhibits a considerable recent literature, especially in compact dynamical random environments. The proposal is to state new results concerning a random walk on the simple symmetric exclusion process. Moreover, we pretend to study non-compact dynamical random environment models. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
GOMES, PABLO A.; SANCHIS, REMY; SILVA, ROGER W. C.. A note on the dimensional crossover critical exponent. LETTERS IN MATHEMATICAL PHYSICS, v. 110, n. 12, . (20/02636-3)
FONTES, LUIZ RENATO; GOMES, PABLO ALMEIDA; SANCHIS, REMY. Contact process under heavy-tailed renewals on finite graphs. BERNOULLI, v. 27, n. 3, p. 1745-1763, . (17/10555-0, 20/02636-3)

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