Brownian Paths Homogeneously Distributed in Space: Percolation Phase Transition and Uniqueness of the Unbounded Cluster

We consider a continuum percolation model on Rd, d≥ 1. For t, λ∈ (0 , ∞) and d∈ { 1 , 2 , 3 } , the occupied set is given by the union of independent Brownian paths running up to time t whose initial points form a Poisson point process with intensity λ> 0. When d≥ 4 ,the Brownian paths are re...

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Detalles Bibliográficos
Autores principales: Erhard, D., Martínez, J., Poisat, J.
Formato: JOUR
Materias:
Boolean percolation
Brownian motion
Continuum percolation
Phase transition
Poisson point process
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_08949840_v30_n3_p784_Erhard
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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