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Phase transitions i...
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Johansson, Anders,1960-Högskolan i Gävle
(författare)
Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
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LIBRIS-ID:oai:DiVA.org:uu-319953
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https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-319953URI
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Språk:engelska
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Sammanfattning på:engelska
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Ämneskategori:vet swepub-contenttype
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Ämneskategori:ovr swepub-publicationtype
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We weaken the assumption of summable variations in a paper by Verbitskiy \cite{verb} to a weaker condition, Berbee's condition, in order for a 1-block factor (a single site renormalisation) 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 an inverse critical temperature in a one-sided long-range Ising model which is at most 8 times the critical inverse temperature for the (two-sided) Ising model with long-range interactions.
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Biuppslag (personer, institutioner, konferenser, titlar ...)
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Öberg, Anders,1968-Uppsala universitet,Matematiska institutionen(Swepub:uu)aob27600
(författare)
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Pollicott, Mark,1959-University of Warwick
(författare)
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Högskolan i GävleMatematiska institutionen
(creator_code:org_t)
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