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math.PR2026
Log-Sobolev Inequality for Wolff Dynamics and Application to the Condensation of Eigen Microstate in the 1D Ising Model
Kaiyuan Cui, Fuzhou Gong
The Wolff dynamics is a non-local Markov chain widely used for simulating the Ising model due to its effectiveness in reducing critical slowing down compared to the Glauber dynamic…
math.PR2025
The log-Sobolev inequality and correlation functions for the renormalization of 1D Ising model
Kaiyuan Cui, Fuzhou Gong
The renormalization group (RG) method is an important tool for studying critical phenomena. In this paper, we employ stochastic analysis techniques to investigate the stochastic pa…