First passage percolation

First passage percolation is a mathematical method used to describe the paths reachable in a random medium within a given amount of time.

Papers overview

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2017

In this paper we consider first passage percolation on the square lattice $\mathbb{Z}^d$ with edge passage times that are…

2016

2016

We generalize the standard site percolation model on the $d$-dimensional lattice to a model on random tessellations of $\mathbb R…

2015

We prove non-universality results for first-passage percolation on the configuration model with i.i.d. degrees having infinite…

2014

In this paper we consider first passage percolation on the square lattice $\mathbb{Z}^d$ with passage times that are…

2013

We consider first passage percolation with i.i.d. weights on edges of the d-dimensional cubic lattice. Under the assumptions that…

2007

We generalize theorems of Kesten and Deuschel-Pisztora about the connectedness of the exterior boundary of a connected subset of…

2006

We consider discrete-time random perturbations of monotone cellular automata (CA) in two dimensions. Under general conditions, we…

2006

Let 0 < a < b < ∞ be fixed scalars. Assign independently to each edge in the lattice Z the value a with probability p or the…

2003

In an exhaust system for removing smoke and pollutant fumes from the area surrounding the discharge of coke from a coke oven in…