Tiecheng Xu

activity

20152025

most citedHydrodynamic limit of Exclusion Processes with slow boundaries on hypercubes

3 citations · 9 across the 7 of their papers we have counts for

collaborators

8 papers

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.PR2024

A scaling limit of the 2D parabolic Anderson model with exclusion interaction

Dirk Erhard, Martin Hairer, Tiecheng Xu

We consider the (discrete) parabolic Anderson model $\partial u (t, x) / \partial t = Δ u (t, x) + ξ_{t} (x) u (t, x)$ , $t \geq 0$ , $x \in Z^{d}$ . Here, the $ξ$ -field is $R$ -valued,…

math.PR2023

Nonequilibrium Joint Fluctuations for Current and Occupation Time in The Symmetric Exclusion Process

Dirk Erhard, Tertuliano Franco, Tiecheng Xu

We provide a full description for the joint fluctuations of current and occupation time in the one-dimensional nonequilibrium simple symmetric exclusion process, furnishing explici…

math.PR2021

Additive functionals of exclusion processes from non-equilibrium

Luiz Renato Fontes, Tiecheng Xu

Consider the weakly asymmetric simple exclusion processes on the one-dimensional torus. We study the non-equilibrium fluctuation of a class of additive functionals, and show that i…

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…

math.PR2015★ 3 cited

Metastability of finite state Markov chains: a recursive procedure to identify slow variables for model reduction

C. Landim, T. Xu

Consider a sequence $(η^{N} (t) : t \geq 0)$ of continuous-time, irreducible Markov chains evolving on a fixed finite set $E$ , indexed by a parameter $N$ . Denote by $R_{N} (η, ξ)$ the jump r…

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

Superdiffusive Scaling Limits for the Symmetric Exclusion Process with Slow Bonds

A scaling limit of the 2D parabolic Anderson model with exclusion interaction

Nonequilibrium Joint Fluctuations for Current and Occupation Time in The Symmetric Exclusion Process

Additive functionals of exclusion processes from non-equilibrium

Hydrodynamic limit of Exclusion Processes with slow boundaries on hypercubes

Condensation of the invariant measures of the supercritical zero range processes

Metastability of finite state Markov chains: a recursive procedure to identify slow variables for model reduction

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