Jian Ding

collaborators

2 papers

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…