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DUALITY BETWEEN COALESCENCE TIMES AND EXIT POINTS IN LAST-PASSAGE PERCOLATION MODELS
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Journal Article
DUALITY BETWEEN COALESCENCE TIMES AND EXIT POINTS IN LAST-PASSAGE PERCOLATION MODELS
2016
Overview
In this article, 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 Airy₂ process. The proof relies on the relation between Busemann functions and the Burke property for stationary versions of the last-passage percolation model with boundary.
Publisher
Institute of Mathematical Statistics
Subject
