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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

  • Czech description

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