Haiyu Huang

collaborators

Showing math.PRShow all

2 papers · 1 filter

math.PR2024

Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models

Marek Biskup, Haiyu Huang

Given a square box $Λ_{n} \subseteq Z^{2}$ of side length $L^{n}$ with $L, n > 1$ , we study hierarchical random fields ${ϕ_{x} : x \in Λ_{n}}$ with law proportional to ${\rm e}^{\frac…

math.PR2023

A limit law for the maximum of subcritical DG-model on a hierarchical lattice

Marek Biskup, Haiyu Huang

We study the extremal properties of the "integer-valued Gaussian" a.k.a.\ DG-model on the hierarchical lattice $Λ_{n} := {1, \dots, b}^{n}$ (with $b \geq 2$ ) of depth $n$ . This is a random…