Academic literature on the topic 'Mesure elliptique'
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Journal articles on the topic "Mesure elliptique":
Hirata-Kohno, Noriko. "Mesures de transcendance pour les quotients de périodes d'intégrales elliptiques." Acta Arithmetica 56, no. 2 (1990): 111–33. http://dx.doi.org/10.4064/aa-56-2-111-133.
Prignet, Alain. "Conditions aux limites non homogènes pour des problèmes elliptiques avec second membre mesure." Annales de la faculté des sciences de Toulouse Mathématiques 6, no. 2 (1997): 297–318. http://dx.doi.org/10.5802/afst.867.
Vergnaud, Damien. "Mesures d'indépendance linéaire de carrés de périodes et quasi-périodes de courbes elliptiques." Journal of Number Theory 129, no. 6 (June 2009): 1212–33. http://dx.doi.org/10.1016/j.jnt.2009.01.021.
Diaz, Giacomo, Mariella Setzu, Andrea Diana, Cecilia Loi, Bruno De Martis, Mario Pala, and M. Boselli. "Analyse de Fourier de la forme de la feuille de vigne. Premiere application ampelométrique sur un échantillon de 34 cépages implantés en Sardaigne." OENO One 25, no. 1 (March 31, 1991): 37. http://dx.doi.org/10.20870/oeno-one.1991.25.1.1221.
Benkirane, A., and M. Kbiri Alaoui. "Sur certaines \equations elliptiques non lin\eaires \`a second membre mesure." Forum Mathematicum 12, no. 4 (January 29, 2000). http://dx.doi.org/10.1515/form.2000.010.
Murat, François. "Équations elliptiques non linéaires monotones avec un deuxième membre ${L}^1$ ou mesure." Journées équations aux dérivées partielles, 1998, 1–4. http://dx.doi.org/10.5802/jedp.538.
Dissertations / Theses on the topic "Mesure elliptique":
Silvestre, Tello Catherine. "Première mesure de l'asymétrie azimutale de la production du Jpsi vers l'avant dans les collisions Au+Au à 200 GeV par paire de nucléons avec l'expérience PHENIX." Palaiseau, Ecole polytechnique, 2008. http://www.theses.fr/2008EPXX0061.
Silvestre, Tello Catherine. "Première mesure de l'asymétrie azimutale de la production du Jpsi vers l'avant dans les collisions Au+Au à 200GeV par paire de nucléons avec l'expérience PHENIX." Phd thesis, Ecole Polytechnique X, 2008. http://pastel.archives-ouvertes.fr/pastel-00004636.
Perstneva, Polina. "Elliptic measure in domains with boundaries of codimension different from 1." Electronic Thesis or Diss., université Paris-Saclay, 2023. http://www.theses.fr/2023UPASM037.
This thesis studies different counterparts of the harmonic measure and their relations with the geometry of the boundary of a domain. In the first part of the thesis, we focus on the analogue of harmonic measure for domains with boundaries of smaller dimensions, defined via the theory of degenerate elliptic operators developed recently by David et al. More precisely, we prove that there is no non-degenerate one-parameter family of solutions to the equation LμDμ = 0, which constitutes the first step to recover an analogue of the statement ``if the distance function to the boundary of a domain is harmonic, then the boundary is flat'', missing from the theory of degenerate elliptic operators. We also find out and explain why the most natural strategy to extend our result to the absence of individual solutions to the equation LμDμ = 0 does not work. In the second part of the thesis, we focus on elliptic measures in the classical setting. We construct a new family of operators with scalar continuous coefficients whose elliptic measures are absolutely continuous with respect to the Hausdorff measures on Koch-type symmetric snowflakes. This family enriches the collection of a few known examples of elliptic measures which behave very differently from the harmonic measure and the elliptic measures of operators close in some sense to the Laplacian. Plus, our new examples are non-compact. Our construction also provides a possible method to construct operators with this type of behaviour for other fractals that possess enough symmetries
Lavenant, Hugo. "Courbes et applications optimales à valeurs dans l'espace de Wasserstein." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS112/document.
The Wasserstein space is the space of probability measures over a given domain endowed with the quadratic Wasserstein distance. In this work, we study variational problems where the unknowns are mappings valued in the Wasserstein space. When the source space is a segment, i.e. when the unknowns are curves valued in the Wasserstein space, we are interested in models where, in addition to the action of the curves, there are some terms which penalize congested configurations. We develop techniques to extract regularity from the minimizers thanks to the interplay between optimal density evolution (minimization of the action) and penalization of congestion, and we apply them to the study of Mean Field Games and the variational formulation of the Euler equations. When the source space is no longer a segment but a domain of a Euclidean space, we consider only the Dirichlet problem, i.e. the minimization of the action (which can be called the Dirichlet energy) among mappings sharing a fixed value on the boundary of the source space. The solutions are called harmonic mappings valued in the Wasserstein space. We prove that the different definitions of the Dirichlet energy in the literature turn out to be equivalent; that the Dirichlet problem is well-posed under mild assumptions; that the superposition principle fails if the source space is no longer a segment; that a sort of maximum principle holds; and we provide a numerical method to compute these harmonic mappings
Lefkir, Miloud. "Mesure des susceptibilités non linéaires d'ordre trois par auto-modification de l'état de polarisation d'une onde lumineuse : rôle des gradients transversés du champ." Angers, 1996. http://www.theses.fr/1996ANGE0025.
Méès, Loïc. "Diffusion de la lumière par des objets cylindriques : simulations par théorie de Lorenz-Mie généralisée et applications métrologiques." Rouen, 2000. http://www.theses.fr/2000ROUES019.
Opitz, Thomas. "Extrêmes multivariés et spatiaux : approches spectrales et modèles elliptiques." Thesis, Montpellier 2, 2013. http://www.theses.fr/2013MON20125/document.
This PhD thesis presents contributions to the modelling of multivariate andspatial extreme values. Using an extension of commonly used pseudo-polar representations inextreme value theory, we propose a general unifying approachto modelling of extreme value dependence. The radial variable of such coordinates is obtained from applying a nonnegative and homogeneous function, called aggregation function, allowing us to aggregate a vector into a scalar value. The distribution of the angle component is characterized by a so-called angular or spectral measure. We define radial Pareto distribution and an inverted version of thesedistributions, both motivated within the framework of multivariateregular variation. This flexible class of models allows for modelling of extreme valuesin random vectors whose aggregated variable shows tail decay of thePareto or inverted Pareto type. For the purpose of spatial extreme value analysis, we follow standard methodology in geostatistics of extremes and put the focus on bivariatedistributions. Inferentialapproaches are developed based on the notion of a spectrogram,a tool composed of thespectral measures characterizing bivariate extreme value behavior. Finally, the so-called spectral construction of the max-stable limit processobtained from elliptical processes, known as extremal-t process, ispresented. We discuss inference and explore simulation methods for the max-stableprocess and the corresponding Pareto process. The utility of the proposed models and methods is illustrated throughapplications to environmental and financial data
Usseglio-Carleve, Antoine. "Estimation de mesures de risque pour des distributions elliptiques conditionnées." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSE1094/document.
This PhD thesis focuses on the estimation of some risk measures for a real random variable Y with a covariate vector X. For that purpose, we will consider that the random vector (X,Y) is elliptically distributed. In a first time, we will deal with the quantiles of Y given X=x. We thus firstly investigate a quantile regression model, widespread in the litterature, for which we get theoretical results that we discuss. Indeed, such a model has some limitations, especially when the quantile level is said extreme. Therefore, we propose another more adapted approach. Asymptotic results are given, illustrated by a simulation study and a real data example.In a second chapter, we focus on another risk measure called expectile. The structure of the chapter is essentially the same as that of the previous one. Indeed, we first use a regression model that is not adapted to extreme expectiles, for which a methodological and statistical approach is proposed. Furthermore, highlighting the link between extreme quantiles and expectiles, we realize that other extreme risk measures are closely related to extreme quantiles. We will focus on two families called Lp-quantiles and Haezendonck-Goovaerts risk measures, for which we propose extreme estimators. A simulation study is also provided. Finally, the last chapter is devoted to the case where the size of the covariate vector X is tall. By noticing that our previous estimators perform poorly in this case, we rely on some high dimensional estimation methods to propose other estimators. A simulation study gives a visual overview of their performances
Ariche, Sadjiya. "Régularité des solutions de problèmes elliptiques ou paraboliques avec des données sous forme de mesure." Thesis, Valenciennes, 2015. http://www.theses.fr/2015VALE0015/document.
In this thesis, we study the regularity of elliptic problems (Laplace, Helmholtz) or parabolic problems (heat equation) with measure data in different geometric frames. Thus, we consider for the second members, Dirac masses at a point, on a line, on a half-line, or on a bounded segment, and also on a regular curve. As the solutions of these problems are singular on the fracture (modeled by Dirac mass in the second member), we study their regularity in weighted Sobolev spaces. In the case of a straight fracture, using Fourier or Mellin technique reduces the problem in dimension three to a Helmholtz problem in dimension two. For the latter, we prove uniform estimates, which are then used to apply the inverse transform and to obtain the expected regularity result. Similarly, the Laplace transformation transforms the heat equation into the same Helmholtz equation in 2D. In the case of a smooth curve fracture, thanks to the results of [D'angelo:2012], using a localization argument and a dyadic recovery we get an improved smoothness of the solution always in weighted Sobolev spaces
Le, Borgne Philippe. "Unicité forte et ensembles nodaux pour des opérateurs elliptiques d'ordre 4." Reims, 2000. http://www.theses.fr/2000REIMS030.
Book chapters on the topic "Mesure elliptique":
Bertin, Marie. "Mesure de Mahler et régulateur elliptique: Preuve de deux relations exotiques." In CRM Proceedings and Lecture Notes, 1–12. Providence, Rhode Island: American Mathematical Society, 2004. http://dx.doi.org/10.1090/crmp/036/01.
"Formes lineaires de logarithmes elliptiques et mesures de transcendance." In Théorie des nombres / Number Theory, 798–805. De Gruyter, 1989. http://dx.doi.org/10.1515/9783110852790.798.