Dendrites and measures with discrete spectrum

Dendrites and measures with discrete spectrum

We are interested in dendrites for which all invariant measures of zero-entropy mappings have discrete spectrum, and we prove that this holds when the closure of the endpoint set of the dendrite is countable. This solves an open question which was around for awhile, almost completing the characteriz...

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Hauptverfasser: Foryś-Krawiec, Magdalena, Hantáková, Jana, Kupka, Jiří, Oprocha, Piotr, Roth, Samuel
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Dynamical Systems
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Zusammenfassung:We are interested in dendrites for which all invariant measures of zero-entropy mappings have discrete spectrum, and we prove that this holds when the closure of the endpoint set of the dendrite is countable. This solves an open question which was around for awhile, almost completing the characterization of dendrites with this property.
DOI:10.48550/arxiv.2104.01356