1,720,975 research outputs found
Convergence properties of symmetrization processes
Full text linkSteiner symmetrization is well known for its rounding and general convergence
properties. We identify a whole family of symmetrizations sharing analogue
behaviors: In fact we prove that all these symmetrizations share the same
converging symmetrization processes, together with some pathological phenomena
Modern aspects of convexity and the interplay between geometry and analysis
Full text linkIn this thesis, we explore the interactions between geometry and analysis in the world of convex geometry. In particular, we mix techniques from the world of convex and functional analysis together with some from non-smooth differential geometry, finding new interpretations of various phenomena appearing in recent developments in convexity. This work has three main focuses: First variations for volumes of convex functions, characterization results for valuations on convex functions, and convergence properties of symmerizations processes
Generalization of Klain's Theorem to Minkowski Symmetrization of compact sets and related topics
Full text linkWe shall prove a convergence result relative to sequences of Minkowski
symmetrals of general compact sets. In particular, we investigate the case when
this process is induced by sequences of subspaces whose elements belong to a
finite family, following the path marked by Klain in [13], and the
generalizations in [4] and [2]. We prove an analogue result for Fiber
symmetrization of a specific class of compact sets. The idempotency for
symmetrization of this family of sets is investigated, leading to a simple
generalization of a result from Klartag [14] regarding the approximation of a
ball through a finite number of symmetrizations, and generalizing an
approximation result in [9
First variation of functional Wulff shapes
Full text linkWe introduce functional Wulff shapes based on the classical construction for
compact convex sets. With this new tool, we establish a functional version of
Aleksandrov's variational lemma in the family of convex functions with compact
domain. The resulting formula is then applied to evaluate the first variation
of a class of functionals on convex functions. In particular, we extend a
recent result by Huang, Liu, Xi, and Zhao.Comment: Adjusted hypothesis on the family of perturbations. Section 3
rewritten and Section 5 removed. Comments are welcom
Entire Monge-Amp\`ere equations and weighted Minkowski problems
Full text linkIn this short note, we prove the existence of solutions to a Monge-Amp\`ere
equation of entire type derived by a weighted version of the classical
Minkowski problem
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
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