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Zbl 0703.58045
Arnoux, Pierre
Un exemple de semi-conjugaison entre un échange d'intervalles et une translation sur le tore. (An example of semi-conjugacy between an interval exchange and a translation on the torus.). (French)
[J] Bull. Soc. Math. Fr. 116, No.4, 489-500 (1988). ISSN 0037-9484

A construction is presented of a continuous and surjective semi-conjugacy between an interval exchange and a translation on the 2-dimensional torus which extends to a semi-conjugacy between a pseudo-Anosov diffeomorphism on a genus 3 surface and a hyperbolic diffeomorphism of the 3-dimensional torus.
[D.Repovš]

MSC 2000:: *37D99 Dynamical systems with hyperbolic behavior

Keywords: n-torus; semi-conjugacy; interval exchange; pseudo-Anosov diffeomorphism; hyperbolic diffeomorphism

Cited in: Zbl 0991.37007

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