| Full text | |
| Author(s): |
Gomes, Pablo A. A.
;
Pereira, Alan
;
Sanchis, Remy
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF THEORETICAL PROBABILITY; v. N/A, p. 12-pg., 2023-05-06. |
| Abstract | |
We consider inhomogeneous non-oriented Bernoulli bond percolation on Z(d), where each edge has a parameter depending on its direction. We prove that, under certain conditions, if the sum of the parameters is strictly greater than 1/2, we have percolation in sufficiently high dimensions. The main tool is a dynamical coupling between models for different dimensions with different sets of parameters. (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 |