Nonuniqueness for specifications in ℓ²⁺ε
Berger, Noam · Hoffman, Christopher · Sidoravicius, Vladas
Original · EN
For every p>2, we construct a regular and continuous specification (g-function), which has a variation sequence that is in lᵖ and which admits multiple Gibbs measures. Combined with a recent result of Johansson and Oberg, this determines the optimal modulus of continuity for a specification which admits multiple Gibbs measures.
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