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
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
Matematický ústav v Opavě – Slezská univerzita v Opavě – Repository
Keywords in English
Distributional chaos; piecewise monotonic map; distribution function; interval map; perturbation; basic set
Tags
International impact, Reviewed
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.
Displayed: 13/11/2024 13:26