Glauber Dynamics On The Cycle Is Monotone
Serban Nacu
Abstract
We study heat-bath Glauber dynamics for the ferromagnetic Ising model on a finite cycle (a graph where every vertex has degree two). We prove that the relaxation time τ2 is an increasing function of any of the couplings Jxy. We also prove some further inequalities, and obtain exact asymptotics for τ2 at low temperatures.
Create a lesson
Related papers
A quadratic ancestor inequality for spanning trees
Gefei Cai
Segal's semigroup, Virasoro structure, and Ward identities in Compactified Imaginary Liouville Theory
Yang Xiao, Yuxiao Xie
Spectral comparison on Specht modules and mixing of the interchange process
Gil Alon
Gamma Expansions of Level Two Large Deviation Rate Functionals for Metastable Diffusions
Donghyun Kim, Insuk Seo
On Stopping Sets and Continuous-Time Decision Trees
Ali Khezeli
Finite Cumulant Towers for Small-System-Noise Expansions in Nonlinear Filtering
Masahiro Kurisaki