FORYŚ-KRAWIEC, Magdalena, Jana HANTÁKOVÁ, Jiří KUPKA, Piotr OPROCHA and Samuel Joshua ROTH. Dendrites and measures with discrete spectrum. 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. |
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@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.
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