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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Boolean Percolation on Doubling Graphs

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Author(s):
Coletti, Cristian F. [1] ; Miranda, Daniel [1] ; Grynberg, Sebastian P. [2]
Total Authors: 3
Affiliation:
[1] Univ Fed ABC, Santo Andre, SP - Brazil
[2] Univ Buenos Aires, Buenos Aires, DF - Argentina
Total Affiliations: 2
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 type: Scholarships in Brazil - Master
FAPESP's process: 09/52379-8 - Stochastic modeling of interacting systems
Grantee:Fabio Prates Machado
Support type: Research Projects - Thematic Grants