Stochastic models on random environments

• Grant number: 20/02636-3
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2020
• End date: May 31, 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

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

(4)

(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. (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, AUG 2021. (17/10555-0, 20/02636-3)

GOMES, PABLO A.; DE LIMA, BERNARDO N. B.. Long-range contact process and percolation on a random lattice. Stochastic Processes and their Applications, v. 153, p. 18-pg., 2022-08-02. (20/02636-3, 17/10555-0)

GOMES, PABLO A. A.; PEREIRA, ALAN; SANCHIS, REMY. Anisotropic Non-oriented Bond Percolation in High Dimensions. JOURNAL OF THEORETICAL PROBABILITY, v. N/A, p. 12-pg., 2023-05-06. (20/02636-3, 17/10555-0)