We prove an interpolation theorem for rational circle diffeomorphisms: A set of complex numbers of unit modulus may be mapped to any corresponding set by a ...
This proves that a circle diffeomorphism T with rotation number number equal to 0 can be approximated by Morse-Smale circle diffeomorphisms in the C1-topology.
We prove an interpolation theorem for rational circle diffeomorphisms: A set of N complex numbers of unit modulus may be mapped to any corresponding set by ...
Dec 4, 2011 · I am given to understand that the group of diffeomorphisms of the unit circle, Diff(S1), has two connected components, Diff+(S1) and Diff−(S1), ...
1.3. Diffeomorphisms of the circle. Denjoy theory. In view of Poincaré theorem it is natural to ask for conditions ensuring C0-linearization, i.e. that.
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Posted: Jul 18, 2019
Posted: Jul 18, 2019
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The behaviour of rational and irrational rotations will be our benchmark for studying other orientation-preserving homeomorphisms on the circle. Finally, we ...
In mathematics, a diffeomorphism is an isomorphism of differentiable manifolds. It is an invertible function that maps one differentiable manifold to another
Groups of Circle Diffeomorphisms systematically explores group actions on the simplest closed manifold, the circle.
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Oct 16, 2018 · Our aim in this note is to present some of the crucial contributions of Jean-Christophe Yoccoz to the theory of circle diffeomorphisms.
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