Phase transitions in long-range Ising models and an optimal condition for factors of g-measures

Johansson, Anders,1960-Högskolan i Gävle,Matematik,Univ Gavle, Dept Math, S-80176 Gavle, Sweden (författare)

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.

Öberg, Anders,1968-Uppsala universitet,Matematiska institutionen,Uppsala University(Swepub:uu)aob27600 (författare)
Pollicott, MarkUniversity of Warwick, Coventry, UK,Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England (författare)
Högskolan i GävleMatematik (creator_code:org_t)

Ingår i:Ergodic Theory and Dynamical Systems: Cambridge University Press39:5, s. 1317-13300143-38571469-4417

Av författaren/redakt...: Johansson, Ander ...; Öberg, Anders, 1 ...; Pollicott, Mark

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