Painlevé Functions in Statistical Physics
Copyright policy )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.
- University of California United States
- University of California, Santa Cruz United States
- University of California United States
- University of California, Davis United States
- University of California, Los Angeles United States
Nonlinear Sciences - Exactly Solvable and Integrable Systems, math-ph, Probability (math.PR), FOS: Physical sciences, Bethe ansatz, Mathematical Physics (math-ph), math.PR, math.MP, ASEP, Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies, KPZ scaling, FOS: Mathematics, 34M55, 60K35, 82B23, Exactly Solvable and Integrable Systems (nlin.SI), Painlevé function, nlin.SI, Exactly solvable models; Bethe ansatz, Mathematics - Probability, Mathematical Physics
Nonlinear Sciences - Exactly Solvable and Integrable Systems, math-ph, Probability (math.PR), FOS: Physical sciences, Bethe ansatz, Mathematical Physics (math-ph), math.PR, math.MP, ASEP, Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies, KPZ scaling, FOS: Mathematics, 34M55, 60K35, 82B23, Exactly Solvable and Integrable Systems (nlin.SI), Painlevé function, nlin.SI, Exactly solvable models; Bethe ansatz, Mathematics - Probability, Mathematical Physics
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