Asymptotic shape for the chemical distance and first-passage percolation on the infinite Bernoulli cluster

Olivier Garet; Régine Marchand

Displaying similar documents to “Asymptotic shape for the chemical distance and first-passage percolation on the infinite Bernoulli cluster”

First-passage percolation on width-two stretches with exponential link weights.

Schlemm, Eckhard (2009)

Electronic Communications in Probability [electronic only]

Similarity:

Strict convexity of the limit shape in first-passage percolation.

Lalley, Steven P. (2003)

Electronic Communications in Probability [electronic only]

Similarity:

Geodesics and recurrence of random walks in disordered systems.

Boivin, Daniel, Derrien, Jean-Marc (2002)

Electronic Communications in Probability [electronic only]

Similarity:

Last passage percolation in macroscopically inhomogeneous media.

Rolla, Leonardo T., Teixeira, Augusto Q. (2008)

Electronic Communications in Probability [electronic only]

Similarity:

An oriented competition model on $Z_{+}^{2}$ .

Lalley, Steven P., Kordzakhia, George (2008)

Electronic Communications in Probability [electronic only]

Similarity:

Limit theorems for the painting of graphs by clusters

Olivier Garet (2001)

ESAIM: Probability and Statistics

Similarity:

We consider a generalization of the so-called divide and color model recently introduced by Häggström. We investigate the behavior of the magnetization in large boxes of the lattice $ℤ^{d}$ and its fluctuations. Thus, Laws of Large Numbers and Central Limit Theorems are proved, both quenched and annealed. We show that the properties of the underlying percolation process deeply influence the behavior of the coloring model. In the subcritical case, the limit magnetization is deterministic and...