Boolean Percolation on Doubling Graphs

Autor(es)

Coletti, Cristian F. ^[1] ; Miranda, Daniel ^[1] ; Grynberg, Sebastian P. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed ABC, Santo Andre, SP - Brazil

^[2] Univ Buenos Aires, Buenos Aires, DF - Argentina

• Tipo de documento: Artigo Científico
• Fonte: Journal of Statistical Physics; v. 178, n. 3 DEC 2019.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 12/24086-9 - Invariância por quasi-isometrias dos comportamentos sub e supercríticos na percolação booleana
• Beneficiário: Filipe Biason Mussini
• Linha de fomento: Bolsas no Brasil - Mestrado
• Processo FAPESP: 09/52379-8 - Modelagem estocástica de sistemas interagentes
• Beneficiário: Fabio Prates Machado
• Linha de fomento: Auxílio à Pesquisa - Temático