A remark on monotonicity for the Glauber dynamics on finite graphs

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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.

Original languageEnglish
Pages (from-to)33-37
Number of pages5
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume86
Issue number2
DOIs
Publication statusPublished - Feb 1 2010

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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