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26 April 2024

» arxiv » 1101.1479

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Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion
Sunder Sethuraman ; S.R.S. Varadhan ;
Date:	7 Jan 2011
Abstract:	Laws of large numbers, starting from certain nonequilibrium measures, have been shown for the integrated current across a bond, and a tagged particle in one dimensional symmetric nearest-neighbor simple exclusion (Jara-Landim (2006)). In this article, we prove corresponding large deviation principles, and evaluate the rate functions, showing different growth behaviors near and far from their zeroes which connect with results in Derrida-Gerschenfeld (2009).
Source:	arXiv, 1101.1479
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