Aoteng Xia

activity

20222026

most citedLong range order for three-dimensional random field Ising model throughout the entire low temperature regime

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

collaborators

4 papers

math.PR2026

Scaling limits of the single-curve interface and outermost loops in the planar random field Ising model

Fenglin Huang, Léonie Papon, Aoteng Xia

We prove that the interface separating $+ 1$ and $- 1$ spins in the near-critical planar random field Ising model (RFIM) with Dobrushin boundary conditions has a scaling limit, whose…

math.PR2025

A phase transition for the two-dimensional random field Ising/FK-Ising model

Chenxu Hao, Fenglin Huang, Aoteng Xia

We study the total variation (TV) distance between the laws of the 2D Ising/FK-Ising model in a box of side-length $N$ with and without an i.i.d.\ Gaussian external field with vari…

math.PR2023

A phase transition and critical phenomenon for the two-dimensional random field Ising model

Jian Ding, Fenglin Huang, Aoteng Xia

We study the random field Ising model in a two-dimensional box with side length $N$ where the external field is given by independent normal variables with mean $0$ and variance $ε^…

math.PR2022★ 2 cited

Long range order for three-dimensional random field Ising model throughout the entire low temperature regime

Jian Ding, Yu Liu, Aoteng Xia

For $d \geq 3$ , we study the Ising model on $Z^{d}$ with random field given by ${ε h_{v} : v \in Z^{d}}$ where $h_{v}$ 's are independent normal variables with mean 0 and vari…