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math.PR2023
A Gaussian Convexity for Logarithmic Moment Generating Functions with Applications in Spin Glasses
Wei-Kuo Chen
For any convex function of -dimensional Gaussian vector with for any , we show that is convex in $λ\i…
math.PR2023
Some Rigorous Results on the Lévy Spin Glass Model
Wei-Kuo Chen, Heejune Kim, Arnab Sen
We study the Lévy spin glass model, a fully connected model on vertices with heavy-tailed interactions governed by a power law distribution of order Our investigation…
math.PR2023
Universality of Superconcentration in the Sherrington-Kirkpatrick Model
Wei-Kuo Chen, Wai-Kit Lam
We study the universality of superconcentration for the free energy in the Sherrington-Kirkpatrick (SK) model. In arXiv:0907.3381, Chatterjee showed that when the system consists o…