A remark on monotonicity for the Glauber dynamics on finite graphs

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Tomoyuki Shirai¹ 

[1] Class number;totally real cubic elds.

关键词: Glauber dynamics;    spectral gap;    spin expectation;    monotonicity conjecture.;   

DOI  :  10.3792/pjaa.86.33

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We show that under the heat-bath Glauber dynamics for the ferromagnetic Ising model on a finite graph, the single spin expectation at a fixed time starting at the all-up configuration is not necessarily an increasing function of coupling constants.

【 授权许可】

Unknown