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

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

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DOI - Digital Object Identifier

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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

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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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)

Publication year

2002

Confidentiality

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

Name of the periodical

Acta Mathematica Universitatis Comenianae

ISSN

ISSN0862-9544

e-ISSN

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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

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EID of the result in the Scopus database

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