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Fundamenta Mathematicae
Article . 2005 . Peer-reviewed
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Real CkKoebe principle

Real \(C^k\) Koebe principle
Authors: Shen, Weixiao; Todd, Michael;

Real CkKoebe principle

Abstract

From the introduction: The real Koebe principle, providing estimates on the first derivative of iterates of a smooth interval map, plays a very important role in recent research of one-dimensional dynamics. Considering its complex counterpart, the (complex) Koebe distortion theorem, it is natural to look for a \(C^k\), \(k\geq 2\), version of this principle. This is the goal of this paper.

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Keywords

smooth interval map, Dynamical systems involving maps of the interval, Koebe distortion theorem, General theory of univalent and multivalent functions of one complex variable, complex counterpar, iterates

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
bronze