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تسجيل مستخدم جديدInfluence of the initial condition in equilibrium last-passage percolation models
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نشر من قبل
Leandro Pimentel Pinto Rodrigues
تاريخ النشر
2011
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فيزياء
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English
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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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These lecture notes are written as reference material for the Advanced Course Hydrodynamical Methods in Last Passage Percolation Models, given at the 28th Coloquio Brasileiro de Matematica at IMPA, Rio de Janeiro, July 2011.
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