3 papers
math.PR2017
Competing first passage percolation on random graphs with finite variance degrees
Daniel Ahlberg, Maria Deijfen, Svante Janson
We study the growth of two competing infection types on graphs generated by the configuration model with a given degree sequence. Starting from two vertices chosen uniformly at ran…
math.PR2017
Existence of an unbounded vacant set for subcritical continuum percolation
Daniel Ahlberg, Vincent Tassion, Augusto Teixeira
We consider the Poisson Boolean percolation model in , where the radii of each ball is independently chosen according to some probability measure with finite second m…
math.PR2016
Sharpness of the phase transition for continuum percolation in R^2
Daniel Ahlberg, Vincent Tassion, Augusto Teixeira
We study the phase transition of random radii Poisson Boolean percolation: Around each point of a planar Poisson point process, we draw a disc of random radius, independently for e…