Thèse de doctorat : Université de Fribourg, 2015 ; no 1944.
Cette thèse traite de deux problèmes en géométrie hyperbolique réelle et complexe. On étudie dans un premier temps des structures géométriques sur des espaces de modules de métriques plates a singularités coniques sur la sphère. D'après des travaux de W. Thurston, l'espace de modules des métriques plates sur S2 à n singularités coniques d'angles donnes admet une structure de...
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Thèse de doctorat : Université de Fribourg, 2015 ; no. 1929.
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Thèse de doctorat : Université de Fribourg, 2012 ; no. 1762.
This thesis is a collection of properties and applications of linear barycentric rational interpolation, mainly with the weights presented by Floater and Hormann in 2007. We are motivated by the counterintuitive and provable impossibility of constructing from equispaced data an approximation scheme that converges very rapidly to the approximated function and is simultaneously computationally...
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Thèse de doctorat : Université de Fribourg, 2008 ; no. 1620.
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Thèse de doctorat : Université de Fribourg, 2006.
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Thèse de doctorat : Université de Fribourg, 2006 ; Nr. 1522.
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Thèse de doctorat : Université de Fribourg, 2001 ; No 1331.
We study the leaf space X/F of regular or singular holomorphic foliations F on a complex manifold X. Using the theory of analytic cycles, we give certain solutions to the two following problems: First Leaf space problem Find sufficient conditions which imply that the leaf space of a foliation with leaves everywhere admits a canonical complex structure. Second Leaf space Problem What can be done...
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Thèse de doctorat : Université de Fribourg, 2002 ; no 1390.
In this work, we solve a particular case of a standard problem of the theory of foliations which is to find conditions for the stability of a compact leaf. A compact leaf is stable if it possesses a fundamental system of neighborhoods saturated with respect to the equivalence relation defined by the leaves of the foliation. Since a lot of manifolds do not possess any foliation in the classical...
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Thèse de doctorat : Université de Fribourg, 2000 ; No 1313.
In 1995, Besson, Courtois and Gallot [BCG] repeated the proof of a theorem that stated that any positive measure µ on the boundary M(∞) of a locally symmetric space M with rank 1 admits a unique center of mass as the solution of the equation: where Bθ is the Busemann function for θ ∈ M(∞). In the higher rank case it is obvious that the center of mass does not exist anymore. As an example...
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Thèse de doctorat : Université de Fribourg, 2001 ; no 1334.
Many neurons and axons are eliminated during the development of the nervous system. These cells and their connections are thus overproduced, and the organism has to destroy the surplus in order to function correctly. A major mechanism responsible for this elimination appears to be competition between cells for a substance necessary for their survival. To examine this hypothesis, the present work...
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