4 citations · 4 across the 8 of their papers we have counts for
8 papers
FRSB in the SK spin glass: convergence to full-interval support at zero temperature
Hong-Bin Chen
We prove full replica symmetry breaking for the zero-field Sherrington-Kirkpatrick model at zero temperature: the Parisi minimizer is absolutely continuous, has a smooth density, a…
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…
Envelope representation of Hamilton-Jacobi equations from spin glasses
Hong-Bin Chen
Recently, [arXiv:2311.08980] demonstrated that, if it exists, the limit free energy of possibly non-convex spin glass models must be determined by a characteristic of the associate…
Color symmetry and ferromagnetism in Potts spin glass
Hong-Bin Chen
We consider the Potts spin glass with additional ferromagnetic interaction parametrized by . It has long been observed that the Potts color symmetry breaking for the spin glass…
Free energy in spin glass models with conventional order
Hong-Bin Chen
Recently, [DOI:10.1007/s10955-023-03135-1] considered spin glass models with additional conventional order parameters characterizing single-replica properties. These parameters are…
On Parisi measures of Potts spin glasses with correction
Hong-Bin Chen
In the Potts spin glass model, inspired by the symmetry argument in [arXiv:2310.06745] for the constrained free energy, we study the free energy with self-overlap correction. Simil…
On the self-overlap in vector spin glasses
Hong-Bin Chen
We consider vector spin glass models with self-overlap correction. Since the limit of free energy is an infimum, we use arguments analogous to those for generic models to show the…