A remark on monotonicity for the Glauber dynamics on finite graphs
Shirai, Tomoyuki
Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, p. 33-37 / Harvested from Project Euclid
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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.
Publié le : 2010-02-15
Classification:  Glauber dynamics,  spectral gap,  spin expectation,  monotonicity conjecture,  60K35,  82C20 
@article{1265033219,
     author = {Shirai, Tomoyuki},
     title = {A remark on monotonicity for the Glauber dynamics on finite graphs},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {86},
     number = {1},
     year = {2010},
     pages = { 33-37},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1265033219}
}

Shirai, Tomoyuki. A remark on monotonicity for the Glauber dynamics on finite graphs. Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, pp.  33-37. http://gdmltest.u-ga.fr/item/1265033219/