Artículos de revistas
Influence of the initial condition in equilibrium last-passage percolation models
Fecha
2012Registro en:
ELECTRONIC COMMUNICATIONS IN PROBABILITY, SEATTLE, v. 17, p. 1-7, JAN 30, 2012
1083-589X
10.1214/ECP.v17-1727
Autor
Cator, Eric A.
Pimentel, Leandro P. R.
Souza, Marcio Watanabe Alves de
Institución
Resumen
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 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.