A remark on monotonicity for the Glauber dynamics on finite graphs

Tomoyuki Shirai

doi:10.3792/pjaa.86.33

A remark on monotonicity for the Glauber dynamics on finite graphs

Tomoyuki Shirai

Division of Fundamental mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	33-37
Number of pages	5
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	86
Issue number	2
DOIs	https://doi.org/10.3792/pjaa.86.33
Publication status	Published - Feb 2010

All Science Journal Classification (ASJC) codes

Mathematics(all)

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abstract = "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.",

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A remark on monotonicity for the Glauber dynamics on finite graphs

Abstract

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