Magdalena Foryś-Krawiec, Jana Hantáková, Jiří Kupka, Piotr Oprocha, Samuel Roth
Published 2021-04-03Version 1
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.
The Structure on Invariant Measures of $C^1$ generic diffeomorphisms
Disintegration of Invariant Measures for Hyperbolic Skew Products
Invariant measures of the topological flow and measures at infinity on hyperbolic groups
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