| Full text | |
| Author(s): |
Coletti, Cristian F.
;
de Lima, Lucas R.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | ESAIM-PROBABILITY AND STATISTICS; v. 25, p. 16-pg., 2021-03-23. |
| Abstract | |
We study the frog model on Cayley graphs of groups with polynomial growth rate D >= 3. The frog model is an interacting particle system in discrete time. We consider that the process begins with a particle at each vertex of the graph and only one of these particles is active when the process begins. Each activated particle performs a simple random walk in discrete time activating the inactive particles in the visited vertices. We prove that the activation time of particles grows at least linearly and we show that in the abelian case with any finite generator set the set of activated sites has a limiting shape. (AU) | |
| FAPESP's process: | 17/10555-0 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |