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The bitransitive continuous maps of the interval are conjugate to maps extremelly chaotic a.e.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F02%3A00000096" target="_blank" >RIV/47813059:19610/02:00000096 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    The bitransitive continuous maps of the interval are conjugate to maps extremelly chaotic a.e.

  • Original language description

    Let $f$ be a continuous map of the interval $[0,1]$ to itself such that $f^2$ is topologically transitive. The author proves that $f$ is topologically conjugate to a continuous map $g$ of $[0,1]$ to itself which satisfies the following property. There isa subset $S$ of $[0,1]$ of Lebesgue measure one such that for every pair of distinct points $x in S$ and $y in S,$ $limsup_{n to infty} |g^n(x)-g^n(y)|=1$ and $liminf_{n to infty} |g^n(x)-g^n(y)|=0.$

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F00%2F0859" target="_blank" >GA201/00/0859: Dynamical systems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2002

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Acta Mathematica Universitatis Comenianae

  • ISSN

    ISSN0862-9544

  • e-ISSN

  • Volume of the periodical

    69

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    SK - SLOVAKIA

  • Number of pages

    4

  • Pages from-to

    229-232

  • UT code for WoS article

  • EID of the result in the Scopus database