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

   
@article{ECP1727,
	author = {Eric Cator and Leandro Pimentel and Marcio Souza},
	title = {Influence of the initial condition in equilibrium last-passage percolation models},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {17},
	year = {2012},
	keywords = {Last passage percolation; Interacting particle system; Hammersley process; Equilibrium measure},
	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.
},
	pages = {no. 7, 1-7},
	issn = {1083-589X},
	doi = {10.1214/ECP.v17-1727},    
        url = {http://ecp.ejpecp.org/article/view/1727}}