# Exceedingly large deviations of the totally asymmetric exclusion process

@article{Olla2019ExceedinglyLD,
title={Exceedingly large deviations of the totally asymmetric exclusion process},
author={Stefano Olla and Li-Cheng Tsai},
journal={Electronic Journal of Probability},
year={2019}
}
• Published 23 August 2017
• Mathematics
• Electronic Journal of Probability
Consider the Totally Asymmetric Simple Exclusion Process (TASEP) on the integer lattice $\mathbb{Z}$. We study the functional Large Deviations of the integrated current $\mathsf{h}(t,x)$ under the hyperbolic scaling of space and time by $N$, i.e., $\mathsf{h}_N(t,\xi) := \frac{1}{N}\mathsf{h}(Nt,N\xi)$. As hinted by the asymmetry in the upper- and lower-tail large deviations of the exponential Last Passage Percolation, the TASEP exhibits two types of deviations. One type of deviations…
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