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

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.

preprint2015arXivOpen access
Leandro P. R. Pimentel
math.PR
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Leandro P. R. Pimentel

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