MÁLEK, Michal and Peter RAITH. Stability of the distribution function for piecewise monotonic maps on the interval. Discrete and Continuous Dynamical Systems - Series A. Springfield: American Institute of Mathematical Sciences, 2018, vol. 38, No 5, p. 2527-2539. ISSN 1078-0947. Available from: https://dx.doi.org/10.3934/dcds.2018105.
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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
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW American Institute of Mathematical Sciences
RIV identification code RIV/47813059:19610/18:A0000026
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.3934/dcds.2018105
UT WoS 000438816700014
Keywords in English Distributional chaos; piecewise monotonic map; distribution function; interval map; perturbation; basic set
Tags International impact, Reviewed
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 9/4/2019 17:39.
Abstract
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.
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