Properties of invariant measures in dynamical systems with the shadowing propert

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Properties of invariant measures in dynamical systems with the shadowing propert

Popis výsledku v původním jazyce

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 .

Název v anglickém jazyce

Properties of invariant measures in dynamical systems with the shadowing propert

Popis výsledku anglicky

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 .

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

ERGOD THEOR DYN SYST

ISSN

0143-3857

e-ISSN

—

Svazek periodika

38

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

28

Strana od-do

2257-2294

Kód UT WoS článku

000439984400011

EID výsledku v databázi Scopus

2-s2.0-85015150785