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February 2010 A remark on monotonicity for the Glauber dynamics on finite graphs
Tomoyuki Shirai
Proc. Japan Acad. Ser. A Math. Sci. 86(2): 33-37 (February 2010). DOI: 10.3792/pjaa.86.33

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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Tomoyuki Shirai. "A remark on monotonicity for the Glauber dynamics on finite graphs." Proc. Japan Acad. Ser. A Math. Sci. 86 (2) 33 - 37, February 2010. https://doi.org/10.3792/pjaa.86.33

Information

Published: February 2010
First available in Project Euclid: 1 February 2010

zbMATH: 1192.82050
MathSciNet: MR2590187
Digital Object Identifier: 10.3792/pjaa.86.33

Subjects:
Primary: 60K35 , 82C20

Keywords: Glauber dynamics , monotonicity conjecture , spectral gap , spin expectation

Rights: Copyright © 2010 The Japan Academy

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Vol.86 • No. 2 • February 2010
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