Formulas and Asymptotics for the Asymmetric Simple Exclusion Process
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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 the asymmetric simple exclusion process, from the derivation of exact formulas for configuration probabilities, through Fredholm determinant representation, to asymptotics with step initial condition establishing KPZ universality. Although complete proofs are in general not given, at least the main elements of them are.
KeywordsAsymmetric simple exclusion process Fredholm determinant Asymptotics KPZ universality
Mathematics Subject Classification (2010)60K35
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