Tiecheng Xu

most citedCondensation of the invariant measures of the supercritical zero range processes

3 citations · 6 across the 2 of their papers we have counts for

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math.PR2025

Nonequilibrium fluctuations for the occupation time of the SSEP in $d \geq 2$

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 $n^{- β}$ has been studied.…

math.PR2021★ 3 cited

Hydrodynamic limit of Exclusion Processes with slow boundaries on hypercubes

Tiecheng Xu

We study the hydrodynamic limit of SSEP with slow boundaries on hypercubes in dimension at least two. The hydrodynamic limit equation is shown to be a heat equation with three diff…

math.PR2020★ 3 cited

Condensation of the invariant measures of the supercritical zero range processes

Tiecheng Xu

For $α \geq 1$ , let $g : N \to R_{+}$ be given by $g (0) = 0$ , $g (1) = 1$ , $g (k) = (k / k - 1)^{α}$ , $k \geq 2$ . Consider the symmetric nearest neighbour zero range process on the discr…

Nonequilibrium fluctuations for the occupation time of the SSEP in d≥2

Superdiffusive Scaling Limits for the Symmetric Exclusion Process with Slow Bonds

Hydrodynamic limit of Exclusion Processes with slow boundaries on hypercubes

Condensation of the invariant measures of the supercritical zero range processes

Nonequilibrium fluctuations for the occupation time of the SSEP in $d \geq 2$