A remark on monotonicity for the Glauber dynamics on finite graphs
Tomoyuki Shirai
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 86, Number 2 (2010), 33-37.
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.
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pja/1265033219
Digital Object Identifier: doi:10.3792/pjaa.86.33
Zentralblatt MATH identifier:
05690872
Mathematical Reviews number (MathSciNet):
MR2590187
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Digital Object Identifier: doi:10.1007/BF01651330
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Proceedings of the Japan Academy, Series A, Mathematical Sciences
