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Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
Högskolan i Gävle, Akademin för teknik och miljö, Avdelningen för elektroteknik, matematik och naturvetenskap, Matematik.
Uppsala University.
University of Warwick, Coventry, UK.
2019 (engelsk)Inngår i: Ergodic Theory and Dynamical Systems, ISSN 0143-3857, E-ISSN 1469-4417, Vol. 39, nr 5, s. 1317-1330Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We weaken the assumption of summable variations in a paper by Verbitskiy [On factors of g-measures. Indag. Math. (N.S.) 22 (2011), 315-329] to a weaker condition, Berbee's condition, in order for a one-block factor (a single-site renormalization) of the full shift space on finitely many symbols to have a g-measure with a continuous g-function. But we also prove by means of a counterexample that this condition is (within constants) optimal. The counterexample is based on the second of our main results, where we prove that there is a critical inverse temperature in a one-sided long-range Ising model which is at most eight times the critical inverse temperature for the (two-sided) Ising model with long-range interactions.

sted, utgiver, år, opplag, sider
Cambridge University Press, 2019. Vol. 39, nr 5, s. 1317-1330
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URN: urn:nbn:se:hig:diva-24122DOI: 10.1017/etds.2017.66ISI: 000462581800009Scopus ID: 2-s2.0-85063586064OAI: oai:DiVA.org:hig-24122DiVA, id: diva2:1107562
Tilgjengelig fra: 2017-06-09 Laget: 2017-06-09 Sist oppdatert: 2019-11-29bibliografisk kontrollert

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