Geodesic
Linear growth of the derivative for measure-preserving diffeomorphisms
Colloquium Mathematicum, Tome 84 (2000) no. 1, pp. 147-157.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider measure-preserving diffeomorphisms of the torus with zero entropy. We prove that every ergodic $C^{1}$-diffeomorphism with linear growth of the derivative is algebraically conjugate to a skew product of an irrational rotation on the circle and a circle $C^{1}$-cocycle. We also show that for no positive β ≠ 1 does there exist an ergodic $C^{2}$-diffeomorphism whose derivative has polynomial growth with degree β.
DOI : 10.4064/cm-84/85-1-147-157

Krzysztof Frączek 1

1 
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Krzysztof Frączek. Linear growth of the derivative for measure-preserving diffeomorphisms. Colloquium Mathematicum, Tome 84 (2000) no. 1, pp. 147-157. doi : 10.4064/cm-84/85-1-147-157. http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-1-147-157/

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