Graph maps with zero topological entropy and sequence entropy pairs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA22029QF" target="_blank" >RIV/61988987:17610/21:A22029QF - isvavai.cz</a>
Result on the web
<a href="https://www.ams.org/journals/proc/2021-149-11/S0002-9939-2021-15578-0/" target="_blank" >https://www.ams.org/journals/proc/2021-149-11/S0002-9939-2021-15578-0/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/proc/15578" target="_blank" >10.1090/proc/15578</a>
Alternative languages
Result language
angličtina
Original language name
Graph maps with zero topological entropy and sequence entropy pairs
Original language description
We show that graph map with zero topological entropy is Li-Yorke chaotic if and only if it has an NS-pair (a pair of non-separable points containing in a same solenoidal -limit set), and a non-diagonal pair is an NS-pair if and only if it is an IN-pair if and only if it is an IT-pair. This completes characterization of zero topological sequence entropy for graph maps.
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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
P AM MATH SOC
ISSN
0002-9939
e-ISSN
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Volume of the periodical
149
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
14
Pages from-to
4757-4770
UT code for WoS article
000695492700020
EID of the result in the Scopus database
2-s2.0-85114775028