Fenglin Huang

activity

20242026

collaborators

5 papers

math.PR2026

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

Fenglin Huang, LÃ©onie 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.PR2025

Non-ergodicity for the noisy majority vote process on trees

Jian Ding, Fenglin Huang

We consider the noisy majority vote process on infinite regular trees with degree $d \geq 3$ , and we prove the non-ergodicity, i.e., there exist multiple equilibrium measures. Our w…

math.PR2025

Phase transitions in low-dimensional long-range random field Ising models

Jian Ding, Fenglin Huang, JoÃ£o Maia

We consider the long-range random field Ising model in dimension $d = 1, 2$ , whereas the long-range interaction is of the form $J_{x y} = ∣ x - y ∣^{- I^\pm}$ with $1 < I^\pm < 3/2$ for $d = 1$ an…

math.PR2024

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 $Îµ…