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Bibliographic Details
Main Author: Hu, Haoran
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2410.23974
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Table of Contents:
  • We consider the relaxation time for the Glauber dynamics of infinite-volume critical ferromagnetic Ising model on $\Z^{d}$ in any dimension $d\geq2$. Under the assumptions regarding the finite-volume log-Sobolev constant and the 1-arm exponent of the critical 1-spin expectation, we show that the equal-position temporal spin correlation function decays polynomially fast in time.