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Theses

Approximation diophantienne, dynamique des chambres de Weyl et répartition d'orbites de réseaux

Abstract : The first part of this thesis develops the relationship between diophantine approximation in a number field and the flow of Weyl chambers in the associated Hilbert manifold.
The second part deals with the shrinking target problem in hyperbolic manifolds.
In third part, results of equirepartition of orbits are proven for some actions of lattices of Lie groups on some homogeneous spaces, following Ledrappier.
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https://tel.archives-ouvertes.fr/tel-00158036
Contributor : François Maucourant <>
Submitted on : Wednesday, June 27, 2007 - 4:20:15 PM
Last modification on : Sunday, November 29, 2020 - 3:24:03 AM
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François Maucourant. Approximation diophantienne, dynamique des chambres de Weyl et répartition d'orbites de réseaux. Mathématiques [math]. Université des Sciences et Technologie de Lille - Lille I, 2002. Français. ⟨tel-00158036⟩

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