Stochastic models on random environments

• Grant number: 20/02636-3
• Support type: Scholarships in Brazil - Post-Doctorate
• Effective date (Start): June 01, 2020
• Effective date (End): May 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Luiz Renato Gonçalves Fontes
• Grantee: Pablo Almeida Gomes
• Home 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

Abstract

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)

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 NOV 2020. Web of Science Citations: 0.