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What is Supercritical Percolation on Polynomial Graphs about?

This document discusses supercritical long-range percolation on transitive graphs of polynomial growth, focusing on the truncated one-arm exponent and the decay of the radius of finite clusters. The authors provide bounds on the probability of certain events related to cluster sizes and establish results regarding the anchored isoperimetric dimension of the infinite cluster. Key findings include the decay rates for the truncated one-arm event and the distribution of finite clusters, contributing to the unde

Author

hocabi9921

Language

EN