Literatura académica sobre el tema "Geométrie métrique des singularités"
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Tesis sobre el tema "Geométrie métrique des singularités"
Oudrane, M'hammed. "Projections régulières, structure de Lipschitz des ensembles définissables et faisceaux de Sobolev". Electronic Thesis or Diss., Université Côte d'Azur, 2023. http://www.theses.fr/2023COAZ4034.
Texto completoIn this thesis we address questions around the metric structure of definable sets in o-minimal structures. In the first part we study regular projections in the sense of Mostowski, we prove that these projections exists only for polynomially bounded structures, we use regular projections to re perform Parusinski's proof of the existence of regular covers. In the second part of this thesis, we study Sobolev sheaves (in the sense of Lebeau). For Sobolev functions of positive integer regularity, we construct these sheaves on the definable site of a surface based on basic observations of definable domains in the plane
Valette, Guillaume. "Détermination et stabilité du type métrique des singularités". Aix-Marseille 1, 2003. http://www.theses.fr/2003AIX11052.
Texto completoMarque, François. "Sur les singularités des espaces de cohomogénéité un". Nancy 1, 1995. http://www.theses.fr/1995NAN10418.
Texto completoBaldé, Moussa. "Deux problèmes liés à la théorie du contrôle et à la théorie des singularités : métriques sous-riemanniennes et observabilité non linéaire". Rouen, 1999. http://www.theses.fr/1999ROUES070.
Texto completoNguyen, Xuan Viet Nhan. "Structure métrique et géométrie des ensembles définissables dans des structures o-minimales". Thesis, Aix-Marseille, 2015. http://www.theses.fr/2015AIXM4742/document.
Texto completoThe thesis focus on study geometric properties of definable sets in o-minimal structures and its applications. There are three main results presented in this thesis. The first is a geometric proof of the existence of Whitney (a) and (b)-regular stratifications of definable sets. The result was initially proved by T. L. Loi in 1994 by using another method. The second is a proof of existence of Lipschitz stratifications (in the sense of Mostowski) of definable sets in a polynomially bounded o-minimal structure. This is a generalization of Parusinski's 1994 result for subanalytic sets. The third result is about the continuity of of variations of integral geometry called local Lipschitz Killing curvatures which were introduced by A. Bernig and L. Broker in 2002. We prove that Lipschitz Killing curvatures are continuous along strata of Whiney stratifications of definable sets in a polynomially bounded o-minimal structure. Moreover, if the stratifications are (w)-regular the Lipspchitz Killing curvatures are locally Lipschitz
Bonnet, Benoît. "Optimal control in Wasserstein spaces". Electronic Thesis or Diss., Aix-Marseille, 2019. http://www.theses.fr/2019AIXM0442.
Texto completoA wealth of mathematical tools allowing to model and analyse multi-agent systems has been brought forth as a consequence of recent developments in optimal transport theory. In this thesis, we extend for the first time several of these concepts to the framework of control theory. We prove several results on this topic, including Pontryagin optimality necessary conditions in Wasserstein spaces, intrinsic regularity properties of optimal solutions, sufficient conditions for different kinds of pattern formation, and an auxiliary result pertaining to singularity arrangements in Sub-Riemannian geometry