4 papers · 1 filter
VRJP recurrence and fractional-moment decay for the \(H^{2|2}\) model's effective field on the hierarchical lattice
Jinglin Wang, Xiaolin Zeng
We prove recurrence of the vertex-reinforced jump process on the hierarchical lattice for spectral dimension \(d<2\) for every value of the conductance parameter \(\overline{W}\),…
The 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…
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…
Fine-Graining and Continuous Space Scaling Limit of the 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 -model to the random Schrödinger operator representatio…