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The Arnoux Semi-conjugacy Is Hölder Continuous

✍ Scribed by Vı́ctor F. Sirvent

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
115 KB
Volume
259
Category
Article
ISSN
0022-247X

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✦ Synopsis

We prove that the semi-conjugacy, obtained by P. Arnoux (1988, Bull. Soc. Math. France 116, 489-500), between an interval exchange map and a translation on the torus is Hölder continuous and we compute the Hölder exponent. This semiconjugacy is a particular case of a space filling curve.

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