Painlev\'e Functions in Statistical Physics
classification
🧮 math.PR
math-phmath.MPnlin.SI
keywords
painlevfunctionslawslimitphysicsstatisticalappearanceasep
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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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