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Exponential concentration for First Passage Percolation through modified Poincare inequalities

Michel Benaim·Raphael Rossignol
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Abstract

We provide a new exponential concentration inequality for First Passage Percolation valid for a wide class of edge times distributions. This improves and extends a result by Benjamini, Kalai and Schramm which gave a variance bound for Bernoulli edge times. Our approach is based on some functional inequalities extending the work of Rossignol and Falik and Samorodnitsky.

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BibTeXRIS

Michel Benaim, Raphael Rossignol. 2007-03-20. Exponential concentration for First Passage Percolation through modified Poincare inequalities. https://arxiv.org/abs/math/0609730

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