Title of article
The Arnoux Semi-conjugacy Is H¨older Continuous
Author/Authors
V´?ctor F.Sirvent 1، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2001
Pages
11
From page
357
To page
367
Abstract
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 H¨older continuous and we compute the H¨older exponent.This semiconjugacy
is a particular case of a space filling curve.
Keywords
substitutions , interval exchange maps. , space filling curves
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2001
Journal title
Journal of Mathematical Analysis and Applications
Record number
933169
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