On ASEP with Step Bernoulli Initial Condition |
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| Authors: | Craig A Tracy Harold Widom |
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| Institution: | 1. Department of Mathematics, University of California, Davis, CA, 95616, USA
2. Department of Mathematics, University of California, Santa Cruz, CA, 95064, USA
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| Abstract: | This paper extends earlier work on ASEP to the case of step Bernoulli initial condition. The main results are a representation in terms of a Fredholm determinant for the probability distribution of a fixed particle, and asymptotic results which in particular establish KPZ universality for this probability in one regime. (And, as a corollary, for the current fluctuations.) |
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