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Artykuły w czasopismach na temat "Espaces de Hadamard"
Itoh, Mitsuhiro, i Hiroyasu Satoh. "Information geometry of Busemann-barycenter for probability measures". International Journal of Mathematics 26, nr 06 (czerwiec 2015): 1541007. http://dx.doi.org/10.1142/s0129167x15410074.
Pełny tekst źródłaPérez Givuva, Pablo Adolfo. "5. Pensamiento matemático creativo en la educación politécnica a través de niveles de la actividad matemática". Revista EDUCARE - UPEL-IPB - Segunda Nueva Etapa 2.0 14, nr 2 (9.01.2015): 99–113. http://dx.doi.org/10.46498/reduipb.v14i2.242.
Pełny tekst źródłaRozprawy doktorskie na temat "Espaces de Hadamard"
Gournay, Antoine. "Dimension moyenne et espaces d'applications pseudo-holomorphes". Paris 11, 2008. http://www.theses.fr/2008PA112124.
Pełny tekst źródłaThis thesis covers two themes. The first begins by evaluating the width of unit balls in Banach spaces. Bounds for these quantities are found, focusing on the case of l^p balls. Widths are also related to mean dimension, an adaptation of entropy to cases where it would be infinite. However, this dynamical invariant turns out to be inefficient if one wishes to distinguish between the dynamical systems given by the unit ball of l^p(\Gamma; \rr). An alteration of mean dimension is thus introduced to deal with this case, but it is no longer a topological invariant but Hölder covariant. This is still sufficient to obtain obstructions. Another variant which relates to Von Neumann dimension is also introduced, following Gromov, and using an extension of the Orstein-Weiss lemma some (but not all) properties are shown. The second theme deals with pseudo-holomorphic curves. We first modify a result on the gluing of two pseudo-holomorphic curves so as to have a nore precise behaviour of the glued curve. Then pseudo-holomorphic cylinders are constructed from a chain of pseudo-holomorphic curves. Under strong assumptions, we obtain an interpolation result on these cylinders. This interpolation result has many consequences, in particular, that thedifferent cylinders obtained are simple, have different images, and form a family of infinite dimension. This theme is reunited with the first as this family has also positive mean dimension. An appendix contains an adaptation of "Taubes toolbox" (methods of elliptic analysis developed by Taubes in "The existence of anti-self-dual structures") to the 2-dimensional case
Bouziane, Taoufik. "Espace géodésique, orthogonalité entre géodésiques et non existence des points focaux dans les espaces de Hadamard : processus stochastiques à valeurs dans un complexe simplicial : mouvement isotropique, mesure de Wiener et mouvement brownien". Lille 1, 2003. https://pepite-depot.univ-lille.fr/RESTREINT/Th_Num/2003/50376-2003-29.pdf.
Pełny tekst źródłaJerhaoui, Othmane. "Viscosity theory of first order Hamilton Jacobi equations in some metric spaces". Electronic Thesis or Diss., Institut polytechnique de Paris, 2022. http://www.theses.fr/2022IPPAE016.
Pełny tekst źródłaThe main subject of this thesis is the study first order Hamilton Jacobi equations posed in certain classes of metric spaces. Furthermore, the Hamiltonian of these equations can potentially present some structured discontinuities.In the first part of this thesis, we study a discontinuous first order Hamilton Jacobi Bellman equation defined on a stratification of R^N. The latter is a finite and disjoint union of smooth submanifolds of R^N called the the subdomains of R^N. On each subdomain, a continuous Hamiltonian is defined on it, However the global Hamiltonian in R^N presents discontinuities once one goes from one subdomain to the other. We give an optimal control interpretation of this problem and we use nonsmooth analysis techniques to prove that the value function is the unique viscosity solution to the discontinuous Hamilton Jacobi Bellman equation in this setting. The uniqueness of the solution is guaranteed by means of a strong comparison principle valid for any lower semicontinuous supersolution and any upper semicontinuous subsolution. As far as existence of the solution is concerned, we use the dynamic programming principle verified by the value function to prove that it is a viscosity solution of the discontinuous Hamilton Jacobi equation. Moreover, we prove some stability results in the presence of perturbations on the discontinuous Hamiltonian. Finally, by virtue of the comparison principle, we prove a general convergence result of monotone numerical schemes approximating this problem.The second part of this thesis is concerned with defining a novel notion of viscosity for first order Hamilton Jacobi equations defined in proper CAT(0) spaces. A metric space is said to be a CAT(0) space if, roughly speaking, it is a geodesic space and its geodesic triangles are "thinner" than the triangles of the Euclidean plane. They can be seen as a generalization of Hilbert spaces or Hadamard manifolds. Typical examples of CAT(0) spaces include Hilbert spaces, metric trees and networks obtained by gluing a finite number of half-spaces along their common boundary. We exploit the additional structure that these spaces enjoy to study stationary and time-dependent first order Hamilton-Jacobi equation in them. In particular, we want to recover the main features of viscosity theory: the comparison principle and Perron's method}.We define the notion of viscosity using test functions that are Lipschitz and can be represented as a difference of two semiconvex function. We show that this new notion of viscosity coincides with the classical one in R^N by studying the examples of Hamilton Jacobi Bellman and Hamilton Jacobi Isaacs' equations. Furthermore, we prove existence and uniqueness of the solution of Eikonal type equations posed in networks that can result from gluing half-spaces of different Hausdorff dimension.In the third part of this thesis, we study a Mayer optimal control problem on the space of Borel probability measures over a compact Riemannian manifold M. This is motivated by certain situations where a central planner of a deterministic controlled system has only imperfect information on the initial state of the system. The lack of information here is very specific. It is described by a Borel probability measure along which the initial state is distributed. We define the new notion of viscosity in this space in a similar manner as in the previous part by taking test functions that are Lipschitz and can be written as a difference of two semiconvex functions. With this choice of test functions, we extend the notion of viscosity to Hamilton Jacobi Bellman equations in Wasserstein spaces and we establish that the value function is the unique viscosity solution of a Hamilton Jacobi Bellman equation in the Wasserstein space over M
Cacais, Nieto Félix. "Compactificações diferenciáveis em espaços simétricos de tipo não compacto". reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2017. http://hdl.handle.net/10183/159602.
Pełny tekst źródłaIn this dissertation we will study some results proposed by Benoit Kloe kner [Kl2] in his do toral thesis. We mainly present the proof of non-existen e of diferentiable Hadamard compactific ations in symmetric spaces of non compact type of rank ≥ 2.
Costa, Maria Silvana Alcantara. "Sobre subvariedades com segunda forma fundamental dominada em espaÃos de Hadamard". Universidade Federal do CearÃ, 2007. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=722.
Pełny tekst źródłaNunes, Giovanni da Silva. "Hipersuperfícies com curvaturas principais positivas em espacos homogêneos". reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 1998. http://hdl.handle.net/10183/127099.
Pełny tekst źródłaA classical result in differential geometry, known as Hadamard's theorem and proved by himself ([Ha]). establishes that a compact connected surface in the Euclidean space whose principal curvatures are everywhere positive is the boundary of a convex body. In particular, the surface is diffeomorphic to a sphere. In this work we present IJartial extensions of this theorem to immersions of arbitrary codimension and to other spaces than the Euclidean one, as clone in [R].
Folacci, Antoine. "Quantification des champs en espace-temps courbe et renormalisation du tenseur d'impulsion-énergie". Paris 11, 1988. http://www.theses.fr/1988PA112075.
Pełny tekst źródłaDuchesne, Bruno. "Des espaces de Hadamard symétriques de dimension infinie et de rang fini". Phd thesis, 2011. http://tel.archives-ouvertes.fr/tel-00673224.
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