1,720,957 research outputs found
A geometrical point of view for branching problems for holomorphic discrete series of conformal Lie groups
No full textThis article is devoted to branching problems for holomorphic discrete series representations of a conformal group G of a tube domain T Ω over a symmetric cone Ω. More precisely, we analyse restrictions of such representations to the conformal group G ′ of a tube domain T Ω ′ holomorphically embedded in T Ω. The goal of this work is the explicit construction of the symmetry breaking and holographic operators in this geometrical setting. To do so, a stratification space for a symmetric cone is introduced. This structure put the light on a new functional model, called the stratified model, for such infinite dimensional representations. The main idea of this work is to give a geometrical interpretation for the branching laws of infinite dimensional representations. The stratified model answers this program by relating branching laws of holomorphic discrete series representations to the theory of orthogonal polynomials on the stratification space. This program is developed in three cases. First, we consider the n-fold tensor product of holomorphic discrete series of the universal covering of SL 2 (R). Then, it is tested on the restrictions of a member of the scalar-valued holomorphic discrete series of the conformal group SO(2, n) to the subgroup SO(2, n−p), and finally to the subgroup SO(2, n − p) × SO(p)
Holographic transform for tensor product of holomorphic discrete series
No full textTo appear in International Journal of Mathematics.International audienceWe study holographic operators associated with Rankin-Cohen brackets which are symmetry breaking operators for the restriction of tensor products of holomorphic discrete series of SL2(R). Furthermore, we investigate a geometrical interpretation of these operators and their relations to classical Jacobi polynomials
Some aspects of branching problems for conformal Lie groups.
No full textCette thèse est consacrée aux problèmes de branchement des représentations de la série discrète holomorphe du groupe conforme G d'un domaine de type tube T sur un cône symétrique. Plus précisément, elle porte sur l'analyse des restrictions de telles représentations à un sous-groupe conforme G' d'un domaine de type tube T' plongé de manière holomorphe dans T. L'objectif de ce travail est la construction explicite des opérateurs de brisure de symétrie et des opérateurs holographiques dans ce cadre géométrique. Pour cela un espace stratifiant un cône symétrique est introduit. Cette structure permet de mettre en évidence un nouveau modèle fonctionnel, appelé modèle stratifié, pour de telles représentations de dimension infinie.L'idée centrale de ce travail est de donner une interprétation géométrique des lois de branchement des représentations de dimension infinie. Le modèle stratifié permet de réaliser ce programme pour la loi de branchement des représentations de la série discrète holomorphe en la reliant à la construction de polynômes orthogonaux sur l'espace stratifiant. Ce programme est réalisé dans trois cas différents. En premier lieu, il est appliqué au produit tensoriel de n représentations de la série discrète du revêtement universel de SL(2,R), dont le cas n=2 est relié aux fameux crochets de Rankin--Cohen et fait l'objet d'un traitement approfondi. Dans un second temps, on étudie la restriction d'une représentation de la série discrète holomorphe du groupe conforme SO(2,n) au sous-groupe SO(2,n-p), et enfin on décrit la restriction au sous-groupe SO(2,n-p)*SO(p).This thesis is devoted to branching problems for holomorphic discrete series representations of a conformal group G of a tube domain T over a symmetric cone. More precisely, we analyse restrictions of such representations to the conformal group G' of a tube domain T' holomorphically embedded in T. The goal of this work is the explicit construction of the symmetry breaking and holographic operators in this geometrical setting. To do so, a stratification space for a symmetric cone is introduced. This structure put the light on a new functional model, called the stratified model, for such infinite dimensional representations.The main idea of this work is to give a geometrical interpretation for the branching laws of infinite dimensional representations. The stratified model answers this program by relating branching laws of holomorphic discrete series representations to the theory of orthogonal polynomials on the stratification space. This program is developed in three cases. First, we consider the n-fold tensor product of holomorphic discrete series of the universal covering of SL(2,R). The n=2 case yields the celebrated Rankin--Cohen brackets which are investigated in more details. Then, it is tested on the restrictions of a member of the scalar-valued holomorphic discrete series of the conformal group SO(2,n) to the subgroup SO(2,n-p), and finally to the subgroup SO(2,n-p)*SO(p)
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Full text linkWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Dispelling the Myths Behind First-author Citation Counts
Full text linkWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
koamabayili/VECTRON-author-checklist: VECTRON author checklist
No full textWe have done our best to complete the author checklist relating to the use of animals in the hut study. Note that the objective for the hut study was to evaluate the IRS treatment applications for residual efficacy against Anopheles mosquitoes, including the local An. coluzzii mosquito population. Cows were only used to attract mosquitoes into the huts and no tests were carried out directly on the cows. The author checklist is intended for use with studies where experiments are carried out on animals, which is why we have had such difficulty in completing this for the hut study, as many of the questions do not relate to how the cows were used
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