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

Peter Raith; Michal Málek

doi:10.3934/dcds.2018105

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

Peter Raith, Michal Málek

Institut für Mathematik

Veröffentlichungen: Beitrag in Fachzeitschrift › Artikel › Peer Reviewed

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.

Originalsprache	Englisch
Seiten (von - bis)	2527-2539
Seitenumfang	13
Fachzeitschrift	Discrete and Continuous Dynamical Systems - Series A
Jahrgang	38
Ausgabenummer	5
DOIs	https://doi.org/10.3934/dcds.2018105
Publikationsstatus	Veröffentlicht - Mai 2018

ÖFOS 2012

101027 Dynamische Systeme

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10.3934/dcds.2018105

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