2 papers
math.PR2025
Nonequilibrium fluctuations for the occupation time of the SSEP in
Tiecheng Xu, Linjie Zhao
We study the symmetric simple exclusion process in two or higher dimensions. We prove the invariance principles for the occupation time when the process starts from nonequilibrium…
math.PR2024
Superdiffusive Scaling Limits for the Symmetric Exclusion Process with Slow Bonds
Dirk Erhard, Tertuliano Franco, Tiecheng Xu
In \cite{fgn1}, the hydrodynamic limit in the diffusive scaling of the symmetric simple exclusion process with a finite number of slow bonds of strength has been studied.…