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Paper detail

Painlevé Functions in Statistical Physics

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.

preprint2010arXivOpen access
Craig A. TracyHarold Widom
math-phmath.PRmath.MPnlin.SI
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Craig A. TracyHarold Widom

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