Blocks in ASEP with step-Bernoulli initial condition

Kyle Johnson

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arXiv · 1905.12046

Blocks in ASEP with step-Bernoulli initial condition

Kyle Johnson

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Abstract

This paper extends work by Tracy and Widom on blocks in the asymmetric simple exclusion process (ASEP) to the case of step-Bernoulli initial condition. We consider the probability that a particle at site $x$ is the beginning of a block of $L$ consecutive particles at time $t$ in ASEP with step-Bernoulli initial condition. A Fredholm determinant representation for this probability is derived, and the asymptotics are computed for the KPZ regime.

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BibTeX RIS

Kyle Johnson. 2019-05-28. Blocks in ASEP with step-Bernoulli initial condition. https://arxiv.org/abs/1905.12046

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