Influence of the initial condition in equilibrium last-passage percolation models

Details Influence of the initial condition in equilibrium last-passage percolation models Influence of the initial condition in equilibrium last-passage percolation models

2011-02-23

arxiv.org/abs/1102.4737v2

Mathematics

Probability

Scientific paper

In this paper we consider an equilibrium last-passage percolation model on an
environment given by a compound two-dimensional Poisson process. We prove an
$\LL^2$-formula relating the initial measure with the last-passage percolation
time. This formula turns out to be a useful tool to analyze the fluctuations of
the last-passage times along non-characteristic directions.

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