Duality between coalescence times and exit points in last-passage percolation models

Leandro P. R. Pimentel

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arXiv · 1307.7769

Duality between coalescence times and exit points in last-passage percolation models

Leandro P. R. Pimentel

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Abstract

In this paper we prove a duality relation between coalescence times and exit points in last-passage percolation models with exponential weights. As a consequence, we get lower bounds for coalescence times with scaling exponent 3/2, and we relate its distribution with variational problems involving the Brownian motion process and the Airy process.

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BibTeX RIS

Leandro P. R. Pimentel. 2015-07-14. Duality between coalescence times and exit points in last-passage percolation models. https://arxiv.org/abs/1307.7769

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