Tiecheng Xu

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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…