| Full text | |
| Author(s): |
Fontes, Luiz Renato
;
Mountford, Thomas S.
;
Ungaretti, Daniel
;
Vares, Maria Eulalia
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Stochastic Processes and their Applications; v. 161, p. 35-pg., 2023-04-06. |
| Abstract | |
We refine previous results concerning the Renewal Contact Processes. We significantly widen the family of distributions for the interarrival times for which the critical value can be shown to be strictly positive. The result now holds for any dimension d >= 1 and requires only a moment condition slightly stronger than finite first moment. For heavy-tailed interarrival times, we prove a Complete Convergence Theorem and examine when the contact process, conditioned on survival, can be asymptotically predicted knowing the renewal processes. We close with an example of distribution attracted to a stable law of index 1 for which the critical value vanishes.(c) 2023 Published by Elsevier B.V. (AU) | |
| FAPESP's process: | 20/05555-4 - Dissemination processes on graphs |
| Grantee: | Daniel Ungaretti Borges |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 17/10555-0 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |