Xiaolin Zeng

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math.PR2026

The $H^{2∣2}$ monotonicity theorem revisited

Yichao Huang, Xiaolin Zeng

We use supersymmetric localization and integration by parts to derive variational and convex correlation inequalities in statistical physics. As a primary application, we give an a…

math.PR2025

Fine-Graining and Continuous Space Scaling Limit of the $H^{2∣2}$ Model on the Hierarchical Lattice

Yichao Huang, Jinglin Wang, Xiaolin Zeng

We extend the exact coarse-graining result of Disertori, Merkl and Rolles~\cite{MR4517733} for the random field of $H^{2∣2}$ -model to the random Schrödinger operator representation…

math.PR2025

Reinforced Loop Soup via Wilson's Algorithm

Yinshan Chang, Yichao Huang, Dang-Zheng Liu +1

The goal of this note is twofold: first, we explain the relation between the isomorphism theorems in the context of vertex reinforced jump process discovered in [BHS19, BHS21] and…

The H2∣2 monotonicity theorem revisited

Fine-Graining and Continuous Space Scaling Limit of the H2∣2 Model on the Hierarchical Lattice

Reinforced Loop Soup via Wilson's Algorithm

The $H^{2∣2}$ monotonicity theorem revisited

Fine-Graining and Continuous Space Scaling Limit of the $H^{2∣2}$ Model on the Hierarchical Lattice