# Limit Processes for TASEP with Shocks and Rarefaction Fans

@article{Corwin2010LimitPF,
title={Limit Processes for TASEP with Shocks and Rarefaction Fans},
author={Ivan Corwin and Patrik L. Ferrari and Sandrine P{\'e}ch{\'e}},
journal={Journal of Statistical Physics},
year={2010},
volume={140},
pages={232-267}
}
• Published 18 February 2010
• Mathematics
• Journal of Statistical Physics
We consider the totally asymmetric simple exclusion process (TASEP) with two-sided Bernoulli initial condition, i.e., with left density ρ− and right density ρ+. We study the associated height function, whose discrete gradient is given by the particle occurrences. Macroscopically one has a deterministic limit shape with a shock or a rarefaction fan depending on the values of ρ±. We characterize the large time scaling limit of the multipoint fluctuations as a function of the densities ρ± and of…
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