Hydrodynamic large deviations of TASEP

Jeremy Quastel; Li‐Cheng Tsai

doi:10.1002/cpa.22233

journal article Nov 22, 2024

Hydrodynamic large deviations of TASEP

Jeremy Quastel Li‐Cheng Tsai

Communications on Pure and Applied Mathematics Vol. 78 No. 5 pp. 913-994 · Wiley

View at Publisher Save 10.1002/cpa.22233

Abstract

AbstractWe consider the large deviations from the hydrodynamic limit of the Totally Asymmetric Simple Exclusion Process (TASEP). This problem was studied by Jensen and Varadhan and was shown to be related to entropy production in the inviscid Burgers equation. Here we prove the full large deviation principle. Our method relies on the explicit formula of Matetski, Quastel, and Remenik for the transition probabilities of the TASEP.

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Details

Published: Nov 22, 2024
Vol/Issue: 78(5)
Pages: 913-994
License: View

Authors

J

Jeremy Quastel

Department of Mathematics University of Toronto Toronto Ontario Canada

L

Li‐Cheng Tsai

Department of Mathematics University of Utah Salt Lake City Utah USA

Funding

National Science Foundation Award: DMS‐1953407

Natural Sciences and Engineering Research Council of Canada

Alfred P. Sloan Foundation Award: FG‐2022‐19308

Cite This Article

Jeremy Quastel, Li‐Cheng Tsai (2024). Hydrodynamic large deviations of TASEP. Communications on Pure and Applied Mathematics, 78(5), 913-994. https://doi.org/10.1002/cpa.22233

Hydrodynamic large deviations of TASEP

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