| Texto completo | |
| Autor(es): |
Fontes, Luiz Renato
;
Gomes, Pablo A.
;
Pinheiro, Maicon A.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | ELECTRONIC JOURNAL OF PROBABILITY; v. 28, p. 26-pg., 2023-01-01. |
| Resumo | |
We consider a particle moving in continuous time as a Markov jump process; its discrete chain is given by an ordinary random walk on Zd, and its jump rate at (x; t) is given by a fixed function ' of the state of a birth-and-death (BD) process at x, at time t; BD processes at different sites are independent and identically distributed, and ' is assumed non-increasing and vanishing at infinity. We derive a LLN and a CLT for the particle position when the environment is "strongly ergodic". In the absence of a viable uniform lower bound for the jump rate, we resort instead to stochastic domination, as well as to a subadditive argument to control the time spent by the particle to perform n consecutive jumps; and we also impose conditions on the initial (product) environmental distribution. (AU) | |
| Processo FAPESP: | 15/00053-2 - Evoluções estocásticas de equilíbrio e não-equilíbrio no contínuo |
| Beneficiário: | Luiz Renato Gonçalves Fontes |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |
| Processo FAPESP: | 17/10555-0 - Modelagem estocástica de sistemas interagentes |
| Beneficiário: | Fabio Prates Machado |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 20/02636-3 - Modelos estocásticos em ambientes aleatórios |
| Beneficiário: | Pablo Almeida Gomes |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |