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Literatura científica selecionada sobre o tema "Inégalité de convolution"
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Teses / dissertações sobre o assunto "Inégalité de convolution"
Shu, Yan. "Opérateurs d’inf-convolution et inégalités de transport sur les graphes". Thesis, Paris 10, 2016. http://www.theses.fr/2016PA100096/document.
Texto completo da fonteIn this thesis, we interest in different inf-convolution operators and their applications to a class of general transportation inequalities, more specifically in the graphs. Therefore, our research topic fits in the theories of transportation and functional analysis. By introducing a gradient notion adapting to a discrete space (more generally to all space in which all closed balls are compact), we prove that some inf-convolution operators are solutions of a Hamilton-Jacobi's inequation. This result allows us to extend a classical theorem from Bobkov, Gentil and Ledoux. More precisely, we prove that, in a graph, some weak transport inequalities are equivalent to the hypercontractivity of inf-convolution operators. Thanks to this result, we deduce some properties concerning different functional inequalities, including Log-Sobolev inequalities and weak-transport inequalities. Besides, we study some general properties (differentiability, convexity, extreme points etc.) of different inf-convolution operators, including the one before, but also an operator related to a physical model (and to a large deviation phenomenon). We stay always in a graph. Secondly, we interest in connections between different notions of discrete Ricci curvature on the graphs which are proposed by several authors in the recent years, and functional inequalities of type transport-entropy, or transport-information related to a Markov chain. We also obtain an extension of Bonnet-Myers' result: an upper bound on the diameter of a graph of which the curvature is floored in some ways. Finally, restricting in the real line, we obtains a characterisation of a weak transport inequality and a log-Sobolev inequality restricted to convex functions. These results are from the geometrical properties related to the convex ordering
Calado, Bruno. "Inégalité de Bohr pour les séries entières et les séries de Dirichlet et factorisation par convolution des fonctions continues périodiques". Paris 11, 2006. http://www.theses.fr/2006PA112332.
Texto completo da fonteIn this thesis, we study Bohr inequality for Taylor series of one or several variables and for Dirichlet series, and the convolution factorization problem for continuous periodic functions. In the first chapter, we state several results about Bohr inequality for power series of one or several variables and the proofs of these results, and we try to keep the chronological order as most as possible. In the second chapter, we extend to the setting of Dirichlet series previous results of H. Bohr for Taylor series in one variable and some generalizations studied in the first chapter. In the last chapter, we study the convolution factorization problem for continuous periodic functions. We study ‘’square'' factorization problems, but also ‘’rectangular'', and we notably show that these are very different problems
Gozé, Vincent. "Une version effective du théorème des nombres premiers de Wen Chao Lu". Electronic Thesis or Diss., Littoral, 2024. http://www.theses.fr/2024DUNK0725.
Texto completo da fonteThe prime number theorem, first proved in 1896 using complex analysis, gives the main term for the asymptotic distribution of prime numbers. It was not until 1949 that the first so-called "elementary" proof was published: it rests strictly on real analysis.In 1999, Wen Chao Lu obtained by an elementary method an error term in the prime number theorem very close to the one provided by the zero-free region of the Riemann zeta function given by La Vallée Poussin at the end of the 19th century. In this thesis, we make Lu's result explicit in order, firstly, to give the best error term obtained by elementary methods so far, and secondly, to explore the limits of his method
Barthe, Franck. "Inégalités fonctionnelles et géométriques obtenues par transport des mesures". Marne-la-Vallée, 1997. http://www.theses.fr/1997MARN0019.
Texto completo da fonteRicotta, Guillaume. "Zéros réels et taille des fonctions L de Rankin-Selberg par rapport au niveau". Phd thesis, Université Montpellier II - Sciences et Techniques du Languedoc, 2004. http://tel.archives-ouvertes.fr/tel-00006428.
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