2023
Dendrites and measures with discrete spectrum
FORYŚ-KRAWIEC, Magdalena; Jana HANTÁKOVÁ; Jiří KUPKA; Piotr OPROCHA; Samuel Joshua ROTH et al.Basic information
Original name
Dendrites and measures with discrete spectrum
Authors
FORYŚ-KRAWIEC, Magdalena; Jana HANTÁKOVÁ; Jiří KUPKA; Piotr OPROCHA and Samuel Joshua ROTH
Edition
Ergodic Theory and Dynamical Systems, New York, Cambridge University Press, 2023, 0143-3857
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 0.800
RIV identification code
RIV/47813059:19610/23:A0000132
Organization unit
Mathematical Institute in Opava
UT WoS
000735381900001
EID Scopus
2-s2.0-85121334688
Keywords in English
dendrite; discrete spectrum; topological entropy; minimal set
Tags
Tags
International impact, Reviewed
Changed: 8/4/2024 12:38, Mgr. Aleš Ryšavý
Abstract
In the original language
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.