| Full text | |
| Author(s): |
Fontes, Luiz Renato
;
Gomes, Pablo A.
;
Pinheiro, Maicon A.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | ELECTRONIC JOURNAL OF PROBABILITY; v. 28, p. 26-pg., 2023-01-01. |
| Abstract | |
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) | |
| FAPESP's process: | 15/00053-2 - Equilibrium and non-equilibrium stochastic evolutions in continuum |
| Grantee: | Luiz Renato Gonçalves Fontes |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 17/10555-0 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 20/02636-3 - Stochastic models on random environments |
| Grantee: | Pablo Almeida Gomes |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |