Dendrites and measures with discrete spectrum

@article{65303,
   author = {ForyśandKrawiec, Magdalena and Hantáková, Jana and Kupka, Jiří and Oprocha, Piotr and Roth, Samuel Joshua},
   article_location = {New York},
   article_number = {2},
   doi = {http://dx.doi.org/10.1017/etds.2021.157},
   keywords = {dendrite; discrete spectrum; topological entropy; minimal set},
   language = {eng},
   issn = {0143-3857},
   journal = {Ergodic Theory and Dynamical Systems},
   title = {Dendrites and measures with discrete spectrum},
   url = {https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/dendrites-and-measures-with-discrete-spectrum/ECA8222ED1A410D761D14A39C9E95FD0},
   volume = {43},
   year = {2023}
}

TY  - JOUR
ID  - 65303
AU  - Foryś-Krawiec, Magdalena - Hantáková, Jana - Kupka, Jiří - Oprocha, Piotr - Roth, Samuel Joshua
PY  - 2023
TI  - Dendrites and measures with discrete spectrum
JF  - Ergodic Theory and Dynamical Systems
VL  - 43
IS  - 2
SP  - 545-555
EP  - 545-555
PB  - Cambridge University Press
SN  - 01433857
KW  - dendrite
KW  - discrete spectrum
KW  - topological entropy
KW  - minimal set
UR  - https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/dendrites-and-measures-with-discrete-spectrum/ECA8222ED1A410D761D14A39C9E95FD0
N2  - 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 dendrites is countable. This solves an open question which has been around for awhile, and almost completes the characterization of dendrites with this property.
ER  - 

FORY$\backslash$'S-KRAWIEC, Magdalena, Jana HANTÁKOVÁ, Jiří KUPKA, Piotr OPROCHA and Samuel Joshua ROTH. Dendrites and measures with discrete spectrum. \textit{Ergodic Theory and Dynamical Systems}. New York: Cambridge University Press, 2023, vol.~43, No~2, p.~545-555. ISSN~0143-3857. Available from: https://dx.doi.org/10.1017/etds.2021.157.