Selected Article

Title

On the Cluster Size Distribution for Percolation on Some General Graphs

Description

We show that for any Cayley graph, the probability (at any p) that the cluster of the origin has size n decays at a well-defined exponential rate (possibly 0). For general graphs, we relate this rate being positive in the supercritical regime with the amenability/nonamenability of the underlying graph.

Date of Appearance

Submission Date

Format

text

Language

English

Set Name

MATHEMATICS

Mobile Tag

QR-Code