Finite Size Percolation in Regular Trees

Ery Arias-Castro

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arXiv · 1007.4508

Finite Size Percolation in Regular Trees

Ery Arias-Castro

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Abstract

In the context of percolation in a regular tree, we study the size of the largest cluster and the length of the longest run starting within the first d generations. As d tends to infinity, we prove almost sure and weak convergence results.

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BibTeX RIS

Ery Arias-Castro. 2010-07-26. Finite Size Percolation in Regular Trees. https://arxiv.org/abs/1007.4508

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