Invariance under quasi-isometries of sub and supercritical behavior in Boolean per...
Percolation models on the causal random graph and market microstructure models
Percolation and phase transition of spin systems on Lorentzian random graphs
| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Fed ABC, Santo Andre, SP - Brazil
[2] Univ Buenos Aires, Buenos Aires, DF - Argentina
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Statistical Physics; v. 178, n. 3 DEC 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We consider the discrete Boolean model of percolation on weighted graphs satisfying a doubling metric condition. We study sufficient conditions on the distribution of the radii of balls placed at the points of a Bernoulli point process for the absence of percolation, provided that the parameter of the underlying point process is small enough. We exhibit three families of interesting graphs where the main result of this work holds. Finally, we give sufficient conditions for ergodicity of the discrete Boolean model of percolation. (AU) | |
| FAPESP's process: | 12/24086-9 - Invariance under quasi-isometries of sub and supercritical behavior in Boolean percolation |
| Grantee: | Filipe Biason Mussini |
| Support Opportunities: | Scholarships in Brazil - Master |
| FAPESP's process: | 09/52379-8 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |