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From Bergman kernels to Polarity: Perspectives on the Mahler, Bourgain, and Blocki conjectures
No full textThis thesis investigates fundamental questions about convex bodies, polarity, and volume. By revisiting their connection to Bergman kernels, novel concepts of -polarity and Mahler volumes are introduced and studied extensively. This elucidates Nazarov's approach to the Mahler conjecture and simultaneously offers a new approach both to the Mahler Conjectures and Bourgain's Hyperplane Conjecture. Moreover, it unifies B\l{}ocki's and Mahler's Conjectures as the endpoint cases of new -Mahler Conjectures. Key contributions include refined bounds, new inequalities, the resolution of B\l{}ocki's conjecture for Bergman kernels of tube domains in dimension two, and the development of new links between the Mahler conjecture and Bourgain's conjecture.
In the first part of this thesis (Chapter 2), Nazarov's bound on the Bergman kernels of tube domains is revisited. A measure of asymetry for convex bodies is introduced, and Nazarov's proof of the Bergman kernel bound is reformualted to avoid the use of John's theorem and remove the symmetry assumption for convex bodies. A new bound for Bergman kernels of tube domains is developed, tailored to the symmetry of the body. This approach recovers Nazarov's bound for symmetric bodies and establishes a new bound applicable to all convex bodies.
Motivated by the study of Bergman kernels of tube domains, the third chapter introduces the concept of -polarity, a novel notion that provides a smooth approximation of classical polarity. -polarity is studied in detail; the existence and uniqueness of -Santal\'o points along with -Santal\'o inequalities, both in the symmetric and non-symmetric cases, are established. Steiner symmetrization is used as the main tool in proving the -Santal\'o inequalities. Using these notions, Bergman kernels of tube domains are now understood via the volume of the -polar body, leading to the derivation of sharp upper bounds as a corollary. Additionally, the -Mahler volumes and Santal\'o points are utilized in the derivation of an upper bound on the isotropic constant, leading to a novel approach to Bourgain's slicing problem.
The introduction of -Mahler volumes naturally leads to the formulation of -Mahler conjectures. Numerical evidence is provided to suggest that, unlike classical polarity, the cube and its linear images are the unique minimizers in the symmetric case. In Chapter 4, the -Mahler conjectures are verified in dimension two by adapting Mahler's sliding argument both in the symmetric and non-symmetric cases. In the latter case, triangles centered at the origin are proven to be the minimizers. As a corollary, sharp lower bounds on the Bergman kernels of tube domains are established in dimension two, verifying in the affirmative a conjecture of B\l{}ocki in that case.
Lastly, -Legendre transforms are introduced as the functional analogues of -polarity. Functional -Santal\'o points and -Santal\'o inequalities are established. This is achieved using the Fokker--Planck heat flow method introduced by Nakamura--Tsuji. Additionally, alternative approaches inspired by the work of Artstein--Klartag--Milman are explored by computing the asymptotics in dimension of the -Mahler volumes of the Euclidean ball
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe 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
Get PDF“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
Get PDFWe 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
Get PDFWe 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
Author-wise bibliometric analysis based on entropy.
No full textAuthor-wise bibliometric analysis based on entropy.</p
Author Under Sail The Imagination of Jack London, 1893-1902
No full textIn Author Under Sail, Jay Williams offers the first complete literary biography of Jack London as a professional writer engaged in the labor of writing. It examines the authorial imagination in London's work, the use of imagination in both his fiction and nonfiction, and the ways he defined imagination in the creative process in his business dealings with his publishers, editors, and agents. In this first volume of a two-volume biography, Williams traverses the years 1893 to 1902, from London's "Story of a Typhoon" to The People of the Abyss. The Jack London who emerges in the pages of Author Under Sail is a writer whose partnership with publishers, most notably his productive alliance with George Brett of Macmillan, was one of the most formative in American literary history. London pioneered many author models during the heyday of realism and naturalism, blurring the boundaries of these popular genres by focusing on absorption and theatricality and the representation of the seen and unseen. London created an impassioned, sincere, and extremely personal realism unlike that of other American writers of the time. Author Under Sail is a literary tour de force that reveals the full range of London as writer, creative citizen, and entrepreneur at the same time it sheds light on the maverick side of machine-age literature.Intro -- Title Page -- Copyright Page -- Dedication -- Contents -- Acknowledgments -- Introduction -- 1. Spirit Truth -- 2. From Absorption to Theatricality and Back Again -- 3. "I Will Build a New Present" -- 4. Sons as Authors -- 5. Fathers as Publishers -- 6. The Daughter as Author -- 7. Lovers as Authors -- 8. At Sea with the Family -- 9. Yellow News, Yellow Stories -- 10. The Return Home -- Notes -- Bibliography -- Index -- About Jay WilliamsIn Author Under Sail, Jay Williams offers the first complete literary biography of Jack London as a professional writer engaged in the labor of writing. It examines the authorial imagination in London's work, the use of imagination in both his fiction and nonfiction, and the ways he defined imagination in the creative process in his business dealings with his publishers, editors, and agents. In this first volume of a two-volume biography, Williams traverses the years 1893 to 1902, from London's "Story of a Typhoon" to The People of the Abyss. The Jack London who emerges in the pages of Author Under Sail is a writer whose partnership with publishers, most notably his productive alliance with George Brett of Macmillan, was one of the most formative in American literary history. London pioneered many author models during the heyday of realism and naturalism, blurring the boundaries of these popular genres by focusing on absorption and theatricality and the representation of the seen and unseen. London created an impassioned, sincere, and extremely personal realism unlike that of other American writers of the time. Author Under Sail is a literary tour de force that reveals the full range of London as writer, creative citizen, and entrepreneur at the same time it sheds light on the maverick side of machine-age literature.Description based on publisher supplied metadata and other sources.Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, YYYY. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
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