L'ensemble de rotation autour d'un point fixe d'homéomorphisme de surface

Abstract : Given a fixed point for a surface homeomorphism,one can define a rotation set around this fixed point, which is a conjugacy invariant.
We initiate the study of this invariant. In particular, we explore its link with other dynamical properties such as the existence of periodic orbits, the differentiability at the fixed point, the Poincaré-Lefschetz index when the fixed point is isolated.
Document type :
Habilitation à diriger des recherches
Mathematics. Université Paris Sud - Paris XI, 2008
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https://tel.archives-ouvertes.fr/tel-00349243
Contributor : Frédéric Le Roux <>
Submitted on : Friday, December 26, 2008 - 11:44:45 AM
Last modification on : Saturday, December 27, 2008 - 7:50:47 AM

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  • HAL Id : tel-00349243, version 1

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Frédéric Le Roux. L'ensemble de rotation autour d'un point fixe d'homéomorphisme de surface. Mathematics. Université Paris Sud - Paris XI, 2008. <tel-00349243>

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