Hydrodynamic large deviations of TASEP
Abstract We 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.
Authors
- Jeremy Quastel
- Li‐Cheng Tsai (ORCID: https://orcid.org/0000-0002-0124-9604)
Institutions
- University of Toronto (CA)
- University of Utah (US)
Publication Details
- Journal
- Communications on Pure and Applied Mathematics
- Published
- 2024-11-22
- DOI
- https://doi.org/10.1002/cpa.22233
- Citations
- 7
- Primary Topic
- Random Matrices and Applications
- Type
- article
- Field-Weighted Citation Impact
- 3.55
Funders
- National Science Foundation
- Alfred P. Sloan Foundation
- Natural Sciences and Engineering Research Council of Canada