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Phase transitions i...
Phase transitions in long-range Ising models and an optimal condition for factors of g-measures
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- Johansson, Anders, 1960- (author)
- Högskolan i Gävle,Matematik,Univ Gavle, Dept Math, S-80176 Gavle, Sweden
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- Öberg, Anders, 1968- (author)
- Uppsala universitet,Matematiska institutionen,Uppsala University
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- Pollicott, Mark (author)
- University of Warwick, Coventry, UK,Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England
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(creator_code:org_t)
- 2017-09-07
- 2019
- English.
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In: Ergodic Theory and Dynamical Systems. - : Cambridge University Press. - 0143-3857 .- 1469-4417. ; 39:5, s. 1317-1330
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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