Add to ORKGWe prove large deviation estimates at the correct order for the graph distance of two sites lying in the same cluster of an independent perco-lation process. We improve earlier results of Gartner and Molchanov and Grimmett and Marstrand and answer afrmatively a conjecture of Kozlov
15 pagesInternational audienceOn the supercritical percolation cluster with parameter p, the distanc...
10 pagesIn this paper, we consider Bernoulli percolation on a locally finite, transitive and infinit...
In this paper, we obtain moderate deviations for the graph distance in supercritical continuum perco...
The chemical distance D(x,y) is the length of the shortest open path between two points x and y in a...
We consider an i.i.d. supercritical bond percolation on Z^d , every edge is open with a probability ...
The aim of this paper is to extend the well-known asymptotic shape result for first-passage percolat...
Abstract. The aim of this paper is to extend the well-known asymptotic shape result for first-passag...
Summary. The following results are proved: 1) For the upper invariant mea-sure of the basic one-dime...
We consider supercritical bond percolation on $\mathbb Z^d$ and study the chemical distance, i.e., t...
Estimates of the fractal dimension phi for \u27chemical distance\u27 (shortest-path distance) betwe...
This thesis is dedicated to the study of large clusters in percolation and is divided into four arti...
19 pages, in english. A french version, entitled "Déviations modérées de la distance chimique" is al...
International audienceWe consider supercritical two-dimensional Bernoulli percolation. Conditionally...
Funder: University of CambridgeAbstract: Let G be a connected, locally finite, transitive graph, and...
\u3cp\u3eScale-free percolation is a percolation model on Z\u3csup\u3ed\u3c/sup\u3e which can be use...
15 pagesInternational audienceOn the supercritical percolation cluster with parameter p, the distanc...
10 pagesIn this paper, we consider Bernoulli percolation on a locally finite, transitive and infinit...
In this paper, we obtain moderate deviations for the graph distance in supercritical continuum perco...
The chemical distance D(x,y) is the length of the shortest open path between two points x and y in a...
We consider an i.i.d. supercritical bond percolation on Z^d , every edge is open with a probability ...
The aim of this paper is to extend the well-known asymptotic shape result for first-passage percolat...
Abstract. The aim of this paper is to extend the well-known asymptotic shape result for first-passag...
Summary. The following results are proved: 1) For the upper invariant mea-sure of the basic one-dime...
We consider supercritical bond percolation on $\mathbb Z^d$ and study the chemical distance, i.e., t...
Estimates of the fractal dimension phi for \u27chemical distance\u27 (shortest-path distance) betwe...
This thesis is dedicated to the study of large clusters in percolation and is divided into four arti...
19 pages, in english. A french version, entitled "Déviations modérées de la distance chimique" is al...
International audienceWe consider supercritical two-dimensional Bernoulli percolation. Conditionally...
Funder: University of CambridgeAbstract: Let G be a connected, locally finite, transitive graph, and...
\u3cp\u3eScale-free percolation is a percolation model on Z\u3csup\u3ed\u3c/sup\u3e which can be use...
15 pagesInternational audienceOn the supercritical percolation cluster with parameter p, the distanc...
10 pagesIn this paper, we consider Bernoulli percolation on a locally finite, transitive and infinit...
In this paper, we obtain moderate deviations for the graph distance in supercritical continuum perco...