Painlev<metaTags></metaTags>#x27;e Functions in Statistical Physics
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Painlev e Functions in Statistical Physics

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https://arxiv.org/pdf/0912.2362.pdf
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Abstract

We review recent progress in limit laws for the one-dimensional asymmetric simple exclusion process (ASEP) on the integer lattice. The limit laws are expressed in terms of a certain Painlev e II function. Furthermore, we take this opportunity to give a brief survey of the appearance of Painlev e functions in statistical physics.

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