Add to ORKGSu±cient conditions are given for the strict convexity of the limit shape in standard ¯rst-passage percolation. These conditions involve (1) asymptotic \straightness " of the geodesics, and (2) existence of mean-zero limit distributions for the ¯rst-passage times.
We consider a first-passage percolation (FPP) model on a Delaunay triangulation D of the plane. In t...
We introduce Riemannian First-Passage Percolation (Riemannian FPP) as a new model of random differen...
International audienceConsider first passage percolation on $\mathbb{Z}^d$ with passage times given ...
We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the t...
We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the t...
This dissertation deals with two classical problems in statistical mechanics: the first passage perc...
We consider directed first-passage and last-passage percolation on the nonnegative lattice Z_+^d, d\...
Let a random geometric graph be defined in the supercritical regime for the existence of a unique in...
International audienceWe consider the model of i.i.d. first passage percolation on Z^d , where we as...
First-passage percolation (FPP) is a fundamental model in probability theory that has a wide range o...
In first-passage percolation, one places nonnegative i.i.d. random variables (T (e)) on the edges of...
We consider first-passage percolation on $\mathbb Z^2$ with independent and identically distributed ...
AbstractWe study directed last-passage percolation on the planar square lattice whose weights have g...
Let #mu#(F) be the time constant of first-passage percolation on the square lattice with underlying ...
34 pages, 4 figuresWe consider the model of i.i.d. first passage percolation on $\mathbb{Z}^d$ : we ...
We consider a first-passage percolation (FPP) model on a Delaunay triangulation D of the plane. In t...
We introduce Riemannian First-Passage Percolation (Riemannian FPP) as a new model of random differen...
International audienceConsider first passage percolation on $\mathbb{Z}^d$ with passage times given ...
We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the t...
We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the t...
This dissertation deals with two classical problems in statistical mechanics: the first passage perc...
We consider directed first-passage and last-passage percolation on the nonnegative lattice Z_+^d, d\...
Let a random geometric graph be defined in the supercritical regime for the existence of a unique in...
International audienceWe consider the model of i.i.d. first passage percolation on Z^d , where we as...
First-passage percolation (FPP) is a fundamental model in probability theory that has a wide range o...
In first-passage percolation, one places nonnegative i.i.d. random variables (T (e)) on the edges of...
We consider first-passage percolation on $\mathbb Z^2$ with independent and identically distributed ...
AbstractWe study directed last-passage percolation on the planar square lattice whose weights have g...
Let #mu#(F) be the time constant of first-passage percolation on the square lattice with underlying ...
34 pages, 4 figuresWe consider the model of i.i.d. first passage percolation on $\mathbb{Z}^d$ : we ...
We consider a first-passage percolation (FPP) model on a Delaunay triangulation D of the plane. In t...
We introduce Riemannian First-Passage Percolation (Riemannian FPP) as a new model of random differen...
International audienceConsider first passage percolation on $\mathbb{Z}^d$ with passage times given ...