Add to ORKGWe give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the time constant in rst{passage percolation, as a functional on the space of distribution functions. The present counterexample only works for rst{passage percolation on Z d for d large.
International audienceWe consider a non trivial Boolean model $\Sigma$ on ${\mathbb R}^d$ for $d\geq...
In the previous decades, the theory of first passage percolation became a highly important area of ...
Let 0 < a < b < ∞ be fixed scalars. Assign independently to each edge in the lattice Z2 the...
We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the t...
Su±cient conditions are given for the strict convexity of the limit shape in standard ¯rst-passage p...
Let #mu#(F) be the time constant of first-passage percolation on the square lattice with underlying ...
We consider the standard model of i.i.d. first passage percolation on Zd given a distribution G on [...
We study the paths of minimal cost for first-passage percolation in two dimensions and obtain an exp...
We consider a first-passage percolation (FPP) model on a Delaunay triangulation D of the plane. In t...
We consider first passage percolation on a d-dimensional hypercubical lattice. The passage time for ...
International audienceWe consider the model of i.i.d. first passage percolation on Z^d , where we as...
We pursue the study of a random coloring first passage percolation model introduced by Fon...
We consider the standard model of first-passage percolation on $\mathbb{Z}^d$ ($d\geq 2$), with i.i....
We study the paths of minimal cost for first-passage percolation in two dimensions and obtain an exp...
International audienceWe consider two different objects on super-critical Bernoulli percolation on $...
International audienceWe consider a non trivial Boolean model $\Sigma$ on ${\mathbb R}^d$ for $d\geq...
In the previous decades, the theory of first passage percolation became a highly important area of ...
Let 0 < a < b < ∞ be fixed scalars. Assign independently to each edge in the lattice Z2 the...
We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the t...
Su±cient conditions are given for the strict convexity of the limit shape in standard ¯rst-passage p...
Let #mu#(F) be the time constant of first-passage percolation on the square lattice with underlying ...
We consider the standard model of i.i.d. first passage percolation on Zd given a distribution G on [...
We study the paths of minimal cost for first-passage percolation in two dimensions and obtain an exp...
We consider a first-passage percolation (FPP) model on a Delaunay triangulation D of the plane. In t...
We consider first passage percolation on a d-dimensional hypercubical lattice. The passage time for ...
International audienceWe consider the model of i.i.d. first passage percolation on Z^d , where we as...
We pursue the study of a random coloring first passage percolation model introduced by Fon...
We consider the standard model of first-passage percolation on $\mathbb{Z}^d$ ($d\geq 2$), with i.i....
We study the paths of minimal cost for first-passage percolation in two dimensions and obtain an exp...
International audienceWe consider two different objects on super-critical Bernoulli percolation on $...
International audienceWe consider a non trivial Boolean model $\Sigma$ on ${\mathbb R}^d$ for $d\geq...
In the previous decades, the theory of first passage percolation became a highly important area of ...
Let 0 < a < b < ∞ be fixed scalars. Assign independently to each edge in the lattice Z2 the...