Number-theoretic positive entropy shifts with small centralizer and large normalizer
نویسندگان
چکیده
منابع مشابه
Characterization of Spacing Shifts with Positive Topological Entropy
Suppose P ⊆ N and let (ΣP , σP ) be the spacing shift defined by P . We show that if the topological entropy h(σP ) of a spacing shift is equal zero, then (ΣP , σP ) is proximal. Also h(σP ) = 0 if and only if P = N \ E where E is an intersective set. Moreover, we show that h(σP ) > 0 implies that P is a ∆ ∗-set; and by giving a class of examples, we show that this is not a sufficient condition...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2020
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2020.111