GENERIC POINTS FOR DYNAMICAL SYSTEMS WITH AVERAGE SHADOWING

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801GK3" target="_blank" >RIV/61988987:17610/17:A1801GK3 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s00605-016-1002-1" target="_blank" >http://dx.doi.org/10.1007/s00605-016-1002-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00605-016-1002-1" target="_blank" >10.1007/s00605-016-1002-1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

GENERIC POINTS FOR DYNAMICAL SYSTEMS WITH AVERAGE SHADOWING

Popis výsledku v původním jazyce

It is proved that to every invariant measure of a compact dynam- ical system one can associate a certain asymptotic pseudo orbit such that any point asymptotically tracing in average that pseudo orbit is generic for the measure. It follows that the asymptotic average shadowing property implies that every invariant measure has a generic point. The proof is based on the properties of the Besicovitch pseudometric DB which are of independent in- terest. It is proved among the other things that the set of generic points of ergodic measures is a closed set with respect to DB. It is also showed that the weak specification property implies the average asymptotic shadowing prop- erty thus the theory presented generalizes most known results on the existence of generic points for arbitrary invariant measures.

Název v anglickém jazyce

GENERIC POINTS FOR DYNAMICAL SYSTEMS WITH AVERAGE SHADOWING

Popis výsledku anglicky

It is proved that to every invariant measure of a compact dynam- ical system one can associate a certain asymptotic pseudo orbit such that any point asymptotically tracing in average that pseudo orbit is generic for the measure. It follows that the asymptotic average shadowing property implies that every invariant measure has a generic point. The proof is based on the properties of the Besicovitch pseudometric DB which are of independent in- terest. It is proved among the other things that the set of generic points of ergodic measures is a closed set with respect to DB. It is also showed that the weak specification property implies the average asymptotic shadowing prop- erty thus the theory presented generalizes most known results on the existence of generic points for arbitrary invariant measures.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

MONATSH MATH

ISSN

0026-9255

e-ISSN

—

Svazek periodika

183

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

AL - Albánská republika

Počet stran výsledku

24

Strana od-do

625-648

Kód UT WoS článku

000405308300003

EID výsledku v databázi Scopus

2-s2.0-84995377366