| Full text | |
| Author(s): |
Gomes, Pablo A.
;
de Lima, Bernardo N. B.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Stochastic Processes and their Applications; v. 153, p. 18-pg., 2022-08-02. |
| Abstract | |
We study the phase transition phenomena for long-range oriented percolation and contact process. We study a contact process in which the range of each vertex are independent, updated dynamically and given by some distribution N. We also study an analogous oriented percolation model on the hyper-cubic lattice, here there is a special direction where long-range oriented bonds are allowed; the range of all vertices are given by an i.i.d. sequence of random variables with common distribution N. For both models, we prove some results about the existence of a phase transition in terms of the distribution N. (c) 2022 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 20/02636-3 - Stochastic models on random environments |
| Grantee: | Pablo Almeida Gomes |
| 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 |