Positive entropy equilibrium states
Sign Up to like & getrecommendations! Published in 2019 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-019-1891-5
Abstract: For transitive shifts of finite type, and more generally for shifts with specification, it is well-known that every equilibrium state for a Holder continuous potential has positive entropy as long as the shift has positive… read more here.
Keywords: positive entropy; specification; equilibrium states; entropy equilibrium ... See more keywords
Number-theoretic positive entropy shifts with small centralizer and large normalizer
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2020.111
Abstract: Abstract Higher-dimensional binary shifts of number-theoretic origin with positive topological entropy are considered. We are particularly interested in analysing their symmetries and extended symmetries. They form groups, known as the topological centralizer and normalizer of… read more here.
Keywords: positive entropy; number; theoretic positive; number theoretic ... See more keywords
Uniformly positive entropy of induced transformations
Sign Up to like & getrecommendations! Published in 2020 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2020.136
Abstract: Let $(X,T)$ be a topological dynamical system consisting of a compact metric space X and a continuous surjective map $T : X \to X$ . By using local entropy theory, we prove that $(X,T)$ has… read more here.
Keywords: induced transformations; entropy induced; entropy; positive entropy ... See more keywords