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arXiv · 1503.02035

Large Deviation Principle for Interacting Brownian Motions

Insuk Seo
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Abstract

We prove the Large Deviation Principle for the empirical process in a system of locally interacting Brownian motions in the nonequilibrium dynamic. Such a phenomenon has been proven only for two lattice systems: the symmetric simple exclusion process and zero-range process. Therefore, we have achieved the third result in this context and moreover the first result for the diffusion-type interacting particle system.

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Insuk Seo. 2015-03-06. Large Deviation Principle for Interacting Brownian Motions. https://arxiv.org/abs/1503.02035

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