J 2018

Stability of the distribution function for piecewise monotonic maps on the interval

MÁLEK, Michal and Peter RAITH

Basic information

Original name

Stability of the distribution function for piecewise monotonic maps on the interval

Authors

MÁLEK, Michal (203 Czech Republic, guarantor, belonging to the institution) and Peter RAITH (40 Austria)

Edition

Discrete and Continuous Dynamical Systems - Series A, Springfield, American Institute of Mathematical Sciences, 2018, 1078-0947

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

RIV identification code

RIV/47813059:19610/18:A0000026

Organization unit

Mathematical Institute in Opava

UT WoS

000438816700014

Keywords in English

Distributional chaos; piecewise monotonic map; distribution function; interval map; perturbation; basic set

Tags

International impact, Reviewed
Změněno: 9/4/2019 17:39, Mgr. Aleš Ryšavý

Abstract

V originále

For piecewise monotonic maps the notion of approximating distribution function is introduced. It is shown that for a mixing basic set it coincides with the usual distribution function. Moreover, it is proved that the approximating distribution function is upper semi-continuous under small perturbations of the map.