100 citations · 445 across the 48 of their papers we have counts for
6 papers · 1 filter
Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed p-spin models
Wei-Kuo Chen, Arnab Sen
We show that the limiting ground state energy of the spherical mixed p-spin model can be identified as the infimum of certain variational problem. This complements the well-known P…
The Legendre structure of the Parisi formula
Antonio Auffinger, Wei-Kuo Chen
We show that the Parisi formula of the mixed -spin model is a concave function of the squared inverse temperature. This allows us to derive a new expression for the Parisi formu…
Fluctuations of the free energy in the mixed -spin models with external field
Wei-Kuo Chen, Partha Dey, Dmitry Panchenko
We show that the free energy in the mixed -spin models of spin glasses does not superconcentrate in the presence of external field, which means that its variance is of the order…
Limit Theorems in the Imitative Monomer-Dimer Mean-Field Model via Stein's Method
Wei-Kuo Chen
We consider the imitative monomer-dimer model on the complete graph introduced in [1]. It was understood that this model is described by the monomer density and has a phase transit…
Disorder chaos in the spherical mean-field model
Wei-Kuo Chen, Hsi-Wei Hsieh, Chii-Ruey Hwang +1
We consider the problem of disorder chaos in the spherical mean-field model. It is concerned about the behavior of the overlap between two independently sampled spin configurations…
Variational representations for the Parisi functional and the two-dimensional Guerra-Talagrand bound
Wei-Kuo Chen
The validity of the Parisi formula in the Sherrington-Kirkpatrick model (SK) was initially proved by Talagrand [18]. The central argument therein relied on a very dedicated study o…