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arXiv.org e-Print Archive
Preprint . 2019
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Topological entropy of the set of generic points for $(\alpha-\beta)$-shifts

descriptionPublicationkeyboard_double_arrow_right Preprint 08 Dec 2019
Authors: Yamamoto, Kenichiro;

arXiv: 1912.03813

Topological entropy of the set of generic points for $(\alpha-\beta)$-shifts

Abstract

We prove that all ($\alpha$-$\beta$)-shifts with $0\le \alpha2$ are saturated, that is, for any invariant measure, the topological entropy of the set of generic points coincides with the metric entropy.

Keywords

Mathematics - Dynamical Systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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