3 papers
math.PR2025
Convergence of exclusion processes and KPZ equation to the KPZ fixed point
Jeremy Quastel, Sourav Sarkar
We show that under the 1:2:3 scaling, critically probing large space and time, the height function of finite range asymmetric exclusion processes and the KPZ equation converge to t…
math.PR2025
Integration by parts and invariant measure for KPZ
Yu Gu, Jeremy Quastel
Using Stein's method and a Gaussian integration by parts, we provide a direct proof of the known fact that drifted Brownian motions are invariant measures (modulo height) for the K…
math.PR2024
Hydrodynamic large deviations of TASEP
Jeremy Quastel, Li-Cheng Tsai
We consider the large deviations from the hydrodynamic limit of the Totally Asymmetric Simple Exclusion Process (TASEP). This problem was studied in Jensen (2000) and Varadhan (200…