On entropy of $Phi$-irregular and $Phi$-level sets in maps with the shadowing property
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA22021Z8" target="_blank" >RIV/61988987:17610/21:A22021Z8 - isvavai.cz</a>
Result on the web
<a href="http://www.aimsciences.org/article/doi/10.3934/dcds.2020317" target="_blank" >http://www.aimsciences.org/article/doi/10.3934/dcds.2020317</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcds.2020317" target="_blank" >10.3934/dcds.2020317</a>
Alternative languages
Result language
angličtina
Original language name
On entropy of $Phi$-irregular and $Phi$-level sets in maps with the shadowing property
Original language description
We study the properties of $Phi$-irregular sets (sets of points for which the Birkhoff average diverges) in dynamical systems with the shadowing property. We estimate the topological entropy of $Phi$-irregular set in terms of entropy on chain recurrent classes and prove that $Phi$-irregular sets of full entropy are typical. We also consider $Phi$-level sets (sets of points whose Birkhoff average is in a specified interval), relating entropy they carry with the entropy of some ergodic measures. Finally, we study the problem of large deviations considering the level sets with respect to reference measures.
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
—
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
DISCRETE CONT DYN S
ISSN
1078-0947
e-ISSN
1553-5231
Volume of the periodical
41
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
26
Pages from-to
1271-1296
UT code for WoS article
000605581300010
EID of the result in the Scopus database
2-s2.0-85099215208