Properties of invariant measures in dynamical systems with the shadowing propert

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA2202EP7" target="_blank" >RIV/61988987:17610/18:A2202EP7 - isvavai.cz</a>

Result on the web

<a href="https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/abs/properties-of-invariant-measures-in-dynamical-systems-with-the-shadowing-property/5C3CB849E07E5BD86FE5AE85714A575E#access-block" target="_blank" >https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/abs/properties-of-invariant-measures-in-dynamical-systems-with-the-shadowing-property/5C3CB849E07E5BD86FE5AE85714A575E#access-block</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1017/etds.2016.125" target="_blank" >10.1017/etds.2016.125</a>

Result language

angličtina

Original language name

Properties of invariant measures in dynamical systems with the shadowing propert

Original language description

For dynamical systems with the shadowing property, we provide a method of approximation of invariant measures by ergodic measures supported on odometers and their almost one-to-one extensions. For a topologically transitive system with the shadowing property, we show that ergodic measures supported on odometers are dense in the space of invariant measures, and then ergodic measures are generic in the space of invariant measures. We also show that for every and the collection of ergodic measures (supported on almost one-to-one extensions of odometers) with entropy between and is dense in the space of invariant measures with entropy at least . Moreover, if in addition the entropy function is upper semi-continuous, then, for every , ergodic measures with entropy are generic in the space of invariant measures with entropy at least .

Czech name

—

Czech description

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Type

J_imp - 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

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

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

Name of the periodical

ERGOD THEOR DYN SYST

ISSN

0143-3857

e-ISSN

—

Volume of the periodical

38

Issue of the periodical within the volume

6

Country of publishing house

GB - UNITED KINGDOM

Number of pages

28

Pages from-to

2257-2294

UT code for WoS article

000439984400011

EID of the result in the Scopus database

2-s2.0-85015150785