Search results for "systèmes dynamiques"

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Partially hyperbolic diffeomorphisms with a compact center foliation with finite holonomy

2011

The thesis classifies partially hyperbolic diffeomorphisms with a compact center foliation with finite holonomy. Under the further assumption of a one-dimensional unstable bundle we show the following: If the unstable bundle is oriented then the system fibers over a hyperbolic toral automorphism. We further establish that the system has a dense orbit of center leaves. During the proof we show a Shadowing Lemma and the dynamical coherence without restrictions of the dimensions.

Mathematics::Dynamical Systems[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]systèmes dynamiques[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]dynamical systemshyperbolicité partiellepartial hyperbolicitycompact foliationsfeuilletages compacts
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Laminations and tilings of the Hyperbolic upper half plane

2005

This thesis is devoted to the study of dynamical systems associated with tilings of theEuclidean plane or of the Hyperbolic half-plane. A such tiling codes an action of a group ofisometries (namely the group of translations of the plane or the group of affine maps) on a compactmetric space $\Omega$ such that the properties of this action are related with the combinatoricproperties of the tiling. The behaviors of the actions obtained by this way are really various. Insome cases, like for example for the Penrose's tiling, this action is free and minimal. This givesto the set $\Omega$ a structure of a specific lamination called {\it solenoid}. This space islocally the product of a Cantor set w…

[ MATH ] Mathematics [math]invariant measuresharmonic<br />measures.combinatoire[MATH] Mathematics [math]tilingsdynamical systemspavagesmesures harmoniques.mesures harmoniquessystèmes dynamiqueslaminations[MATH]Mathematics [math]mesures invariantes
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