Double minimality, entropy and disjointness with all minimal systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001JP2" target="_blank" >RIV/61988987:17610/19:A2001JP2 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.3934/dcds.2019011" target="_blank" >https://doi.org/10.3934/dcds.2019011</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcds.2019011" target="_blank" >10.3934/dcds.2019011</a>
Alternative languages
Result language
angličtina
Original language name
Double minimality, entropy and disjointness with all minimal systems
Original language description
In this paper we propose a new sufficient condition for disjointness with all minimal systems. Using proposed approach we construct a transitive dynamical system (X,T) disjoint with every minimal system and such that the set of transfer times N(x,U) is not an IP∗-set for some nonempty open set U⊂X and every x∈X. This example shows that the new condition sharpens sufficient conditions for disjointness below previous bounds. In particular our approach does not rely on distality of points or sets.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
DISCRETE CONT DYN S
ISSN
1078-0947
e-ISSN
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Volume of the periodical
39
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
263-275
UT code for WoS article
000448406700011
EID of the result in the Scopus database
2-s2.0-85056090131