1,720,992 research outputs found
An example of fractal singular homogenization
No full textWe construct a sequence of quadratic weighted energy forms in an
open domain of the plane, which M-converges to the an energy form with a singular fractal term. The weights belong to the
A_2-Muckenoupt class and have point-wise singularities. The
result implies the spectral convergence of a sequence of
second-order weighted elliptic operators in divergence form in the
plane to a singular elliptic operator with a second order fractal
term
Layered fractal fibers and potentials
Full text linkWe study spectral asymptotic properties of conductive layered-thin-fibers of invasive fractal nature. The problem is formulated as a boundary value problem for singular elliptic operators with potentials in a quasi-filling geometry for the fibers. The methods are those of variational singular homogenization and M-convergence. We prove that the spectral measures of the differential problems converge to the spectral measure of a non-trivial self-adjoint operator with fractal terms
Variational problems with fractal layers
No full textWe construct suitable energy forms on certain fractal layers and state related variational principles
Sur un problème de contrôle optimal stochastique continu et impulsionnel avec hamiltonien à croissance quadratique.
No full text
Homogenization for conductive thin layers of prefractal type
No full textThe aim of this work is to obtain convergence results for the solutions of transmission problems across highly conductive layers of pre-fractal type from the point of view of homogenization. We prove the M-convergence of the energy functionals to an energy functional which incorporates a singular term, supported within the layer. From the convergence of the energy functionals we deduce the convergence of the approximating solutions to the limit solution in a suitable sens
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
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