Add to ORKGFor First Passage Percolation in Zd with large d, we construct a path connecting the origin to {x1 = 1}, whose passage time has optimal order log d/d. Besides, an improved lower bound for the ”diagonal ” speed of the cluster combined with a result by Dhar (1988) shows that the limiting shape in FPP with exponential passage times (and thus that of Eden model) is not the euclidian ball in dimension larger than 35
We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the t...
We construct a nearest-neighbor process {Sn} on Z that is less predictable than simple random walk, ...
We examine the percolation model on Zd by an approach involving lattice animals and their surface-ar...
International audienceFor First Passage Percolation in Z^d with large d, we construct a path connect...
We consider first passage percolation on a d-dimensional hypercubical lattice. The passage time for ...
We study the behavior of the optimal path between two sites separated by a distance r on a d-dimensi...
We consider the first passage percolation model on Z2. In this model, we assign independently to eac...
International audienceConsider first passage percolation on $\mathbb{Z}^d$ with passage times given ...
34 pages, 4 figuresWe consider the model of i.i.d. first passage percolation on $\mathbb{Z}^d$ : we ...
We consider directed first-passage and last-passage percolation on the nonnegative lattice Z_+^d, d\...
Let #mu#(F) be the time constant of first-passage percolation on the square lattice with underlying ...
We consider a last-passage directed percolation model in $Z_+^2$, with i.i.d. weights whose common d...
The aim of this paper is to extend the well-known asymptotic shape result for first-passage percolat...
AbstractWe consider the first passage percolation model on the Zd lattice. In this model, we assign ...
Abstract. The aim of this paper is to extend the well-known asymptotic shape result for first-passag...
We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the t...
We construct a nearest-neighbor process {Sn} on Z that is less predictable than simple random walk, ...
We examine the percolation model on Zd by an approach involving lattice animals and their surface-ar...
International audienceFor First Passage Percolation in Z^d with large d, we construct a path connect...
We consider first passage percolation on a d-dimensional hypercubical lattice. The passage time for ...
We study the behavior of the optimal path between two sites separated by a distance r on a d-dimensi...
We consider the first passage percolation model on Z2. In this model, we assign independently to eac...
International audienceConsider first passage percolation on $\mathbb{Z}^d$ with passage times given ...
34 pages, 4 figuresWe consider the model of i.i.d. first passage percolation on $\mathbb{Z}^d$ : we ...
We consider directed first-passage and last-passage percolation on the nonnegative lattice Z_+^d, d\...
Let #mu#(F) be the time constant of first-passage percolation on the square lattice with underlying ...
We consider a last-passage directed percolation model in $Z_+^2$, with i.i.d. weights whose common d...
The aim of this paper is to extend the well-known asymptotic shape result for first-passage percolat...
AbstractWe consider the first passage percolation model on the Zd lattice. In this model, we assign ...
Abstract. The aim of this paper is to extend the well-known asymptotic shape result for first-passag...
We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the t...
We construct a nearest-neighbor process {Sn} on Z that is less predictable than simple random walk, ...
We examine the percolation model on Zd by an approach involving lattice animals and their surface-ar...