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


 
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1. Title Title of document Influence of the initial condition in equilibrium last-passage percolation models
 
2. Creator Author's name, affiliation, country Eric A. Cator; Delft University of Technology; Netherlands
 
2. Creator Author's name, affiliation, country Leandro P. R. Pimentel; Universidade Federal do Rio de Janeiro; Brazil
 
2. Creator Author's name, affiliation, country Marcio W. A. Souza; University of Sao Paulo; Brazil
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Last passage percolation; Interacting particle system; Hammersley process; Equilibrium measure
 
3. Subject Subject classification 60C05 ; 60K35 ; 60F05
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2012-01-30
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1727
 
10. Identifier Digital Object Identifier 10.1214/ECP.v17-1727
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 17
 
12. Language English=en en
 
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