Formulas and Asymptotics for the Asymmetric Simple Exclusion Process

Details Formulas and Asymptotics for the Asymmetric Simple Exclusion Process Formulas and Asymptotics for the Asymmetric Simple Exclusion Process

2011-01-13

arxiv.org/abs/1101.2682v2

Mathematical Physics, Analysis and Geometry 14 (2011), 211-235

Mathematics

Probability

25 pages. Version 2 corrects an error in Section II.4

Scientific paper

10.1007/s11040-011-9095-1

This is an expanded version of a series of lectures delivered by the second author in June, 2009. It describes the results of three of the authors' papers on ASEP, from the derivation of exact formulas for configuration probabilities, through Fredholm determinant representation, to asymptotics for ASEP with step initial condition establishing KPZ universality. Although complete proofs are in general not given, at least the main elements of them are.

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