| Full text | |
| Author(s): |
Gallo, Sandro
;
Pena, Caio
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Statistical Physics; v. 190, n. 2, p. 15-pg., 2023-02-01. |
| Abstract | |
We consider the frog model with geometric lifetime (parameter 1- p) on homogeneous trees of dimension d. In 2002, Alves et al.(Electron J Probab 7:21, 2002) proved that there exists a critical lifetime parameter p(c) is an element of (0, 1) above which infinitely many frogs are activated with positive probability, and they gave lower and upper bounds for p(c). Since then, the literature on this model focussed on refinements of the upper bound. In the present paper, we improve the bounds for p(c) on both sides. We also provide a discussion comparing the bounds of the literature and their proofs. Our proofs are based on coupling. (AU) | |
| FAPESP's process: | 19/23439-4 - Stochastic chains with unbounded memory and random walks on graphs |
| Grantee: | Alexsandro Giacomo Grimbert Gallo |
| Support Opportunities: | Regular Research Grants |