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The Arnoux Semi-conjugacy Is Hölder Continuous

The Arnoux semi-conjugacy is Hölder continuous
descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2001 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 259, pages 357-367 (issn: 0022-247X, Copyright policy )
Authors: Sirvent, Vı́ctor F.;

doi: 10.1006/jmaa.2000.7348

The Arnoux Semi-conjugacy Is Hölder Continuous

Abstract

This paper is devoted to the semi-conjugacy between an interval exchange map and a translation on the torus [see \textit{P. Arnoux}, Bull. Soc. Math. Fr. 116, 489-500 (1988; Zbl 0703.58045)]. The author proves that the semi-conjugacy is Hölder continuous and computes the Hölder exponent. This semiconjugacy is a particular case of a space-filling curve.

Related Organizations
Keywords

Hölder continuity, interval exchange maps, Applied Mathematics, Symbolic dynamics, space filling curves, space-filling curve, substitutions, Analysis, semi-conjugacy

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selected citations
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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!
2
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