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For every $p>2$ , we construct a regular and continuous specification ( $g$ -function), which has a variation sequence that is in $\ell ^{p}$ and which admits multiple Gibbs measures.… Click to show full abstract
For every $p>2$ , we construct a regular and continuous specification ( $g$ -function), which has a variation sequence that is in $\ell ^{p}$ and which admits multiple Gibbs measures. Combined with a result of Johansson and Öberg [Square summability of variations of $g$ -functions and uniqueness in $g$ -measures. Math. Res. Lett. 10(5–6) (2003), 587–601], this determines the optimal modulus of continuity for a specification which admits multiple Gibbs measures.
Keywords:
non uniqueness;
ell unicode;
specifications ell;
stix x1d716;
uniqueness specifications;
unicode stix
Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2017
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Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!