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2012 Influence of the initial condition in equilibrium last-passage percolation models
Eric Cator, Leandro Pimentel, Marcio Souza
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Electron. Commun. Probab. 17: 1-7 (2012). DOI: 10.1214/ECP.v17-1727

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 $\mathbb{L}^2$-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. Leandro Pimentel. Marcio Souza. "Influence of the initial condition in equilibrium last-passage percolation models." Electron. Commun. Probab. 17 1 - 7, 2012. https://doi.org/10.1214/ECP.v17-1727

Information

Accepted: 30 January 2012; Published: 2012
First available in Project Euclid: 7 June 2016

zbMATH: 1247.60132
MathSciNet: MR2878742
Digital Object Identifier: 10.1214/ECP.v17-1727

Subjects:
Primary: 60C05
Secondary: 60F05, 60K35

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