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arXiv · 1102.4737

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

Eric Cator·Marcio Watanabe·Leandro P. R. Pimentel
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Abstract

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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Eric Cator, Marcio Watanabe, Leandro P. R. Pimentel. 2011-08-16. Influence of the initial condition in equilibrium last-passage percolation models. https://arxiv.org/abs/1102.4737

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