1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.PR2020
The fractal cylinder process: existence and connectivity phase transition
Erik Broman, Olof Elias, Filipe Mussini +1
We consider a semi-scale invariant version of the Poisson cylinder model which in a natural way induces a random fractal set. We show that this random fractal exhibits an existence…
math.PR2017
Random cover times using the Poisson cylinder process
Erik I. Broman, Filipe Mussini
In this paper we deal with the classical problem of random cover times. We investigate the distribution of the time it takes for a Poisson process of cylinders to cover a set $A \s…
math.PR2015★ 1 cited
Invariance under quasi-isometries of subcritical and supercritical behaviour in the Boolean model of percolation
Cristian F. Coletti, Daniel Miranda, Filipe Mussini
In this work we study the Poisson Boolean model of percolation in locally compact Polish metric spaces and we prove the invariance of subcritical and supercritical phases under mm-…