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arXiv · 0912.2362

Painlevé Functions in Statistical Physics

Craig A. Tracy·Harold Widom
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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 Painlevé II function. Furthermore, we take this opportunity to give a brief survey of the appearance of Painlevé functions in statistical physics.

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Craig A. Tracy, Harold Widom. 2010-04-27. Painlevé Functions in Statistical Physics. https://doi.org/10.2977/prims%2F38

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