5 citations · 13 across the 10 of their papers we have counts for
10 papers
The phase transition for domination in two interacting urns with power reinforcement
Jiaming Xia
We study two interacting urns with power reinforcement , for . Using Qin's stochastic-approximation theorem as input, we reduce the phase transition problem for domi…
Multi-point functions of a full-plane two-state fuzzy -Potts model
Hong-Bin Chen, Jiaming Xia
We study the full-plane two-state fuzzy -Potts model, obtained by assigning independent balanced spins to the open clusters of a critical random-cluster configu…
Critical exponents for planar random-cluster model with cluster-weight
Hong-Bin Chen, Hugo Duminil-Copin, Tiancheng He +4
Using the Baxter-Kelland-Wu coupling and the convergence of the height function of the six-vertex model to the Gaussian Free Field, we extract critical exponents for the planar cri…
Conformal invariance of random currents: a stability result
Hong-Bin Chen, Jiaming Xia
We show the convergence of the single sourceless critical random current to a limit identifiable with the nested CLE(3). Our approach is based on viewing the random current as a pe…
Hamilton-Jacobi equations with monotone nonlinearities on convex cones
Hong-Bin Chen, Jiaming Xia
We study the Cauchy problem of a Hamilton-Jacobi equation with the spatial variable in a closed convex cone. A monotonicity assumption on the nonlinearity allows us to prescribe no…
Hamilton-Jacobi equations from mean-field spin glasses
Hong-Bin Chen, Jiaming Xia
We give a meaning to the Hamilton--Jacobi equation arising from mean-field spin glass models in the viscosity sense, and establish the corresponding well-posedness. Originally defi…
Free energy of multi-layer generalized linear models
Hong-Bin Chen, Jiaming Xia
We compute the high-dimensional limit of the free energy associated with a multi-layer generalized linear model. Under certain technical assumptions, we identify the limit in terms…
Statistical inference of finite-rank tensors
Hong-Bin Chen, Jean-Christophe Mourrat, Jiaming Xia
We consider a general statistical inference model of finite-rank tensor products. For any interaction structure and any order of tensor products, we identify the limit free energy…
Fenchel-Moreau identities on convex cones
Hong-Bin Chen, Jiaming Xia
A pointed convex cone naturally induces a partial order, and further a notion of nondecreasingness for functions. We consider extended real-valued functions defined on the cone. Mo…
Hamilton-Jacobi equations for inference of matrix tensor products
Hong-Bin Chen, Jiaming Xia
We study the high-dimensional limit of the free energy associated with the inference problem of finite-rank matrix tensor products. In general, we bound the limit from above by the…