A remark on monotonicity for the Glauber dynamics on finite graphs

作者：Shirai Tomoyuki^*

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2010, 86(2): 33-37.

DOI：10.3792/pjaa.86.33

• Glauber dynamics
• spectral gap
• spin expectation
• monotonicity conjecture

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.

• 出版日期2010-2