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Variational convergence for functionals of Ginzburg-Landau type
Full text linkIn the first part of this paper we prove that functionals of Ginzburg-Landau type for maps from a domain in dimension n+k into R^k converge in a suitable sense to the area functional for surfaces of dimension n (Theorem 1.1).
In the second part we modify this result in order to include Dirichlet boundary condition (Theorem 5.5), and, as a corollary, we show that the rescaled energy densities and the Jacobians of minimizers converge to minimal surfaces of dimension n (Corollaries 1.2 and 5.6).
Some of these results were announced in the paper "Un risultato di convergenza variazionale per funzionali di tipo Ginzburg-Landau in dimensione qualunque" by the first author
Contribuições para o estudo da História Regional: a trajetória da ervateira Baldo S/A no Rio Grande do Sul (1920-2006)
Full text linkResumo: O presente artigo estuda a colonização no Sul do Brasil, mais especificamente, a adaptação dos imigrantes italianos e seus descendentes, ao panorama econômico formatado a partir da primeira metade do século XX. As reflexões têm como ponto de partida a história de uma empresa familiar, a Baldo S/A, situada no município de Encantado/RS. O estudo tangenciou, desde a perspectiva historiográfica, algumas atividades econômicas que compõem o ramo de atuação da Baldo S/A. Em que pese ter diversificado sua linha atuação, a empresa tem sua origem vinculada ao beneficiamento e comercialização de erva-mate. O acervo documental consultado permitiu a visualização da inserção da Baldo S/A no panorama econômico do Sul do Brasil e sua penetração em outros países do Cone sul. Além de consultas bibliográficas, o presente estudo encontra-se lastreado por documentação originária de acervos pessoais e institucionais. A elaboração do texto seguiu os parâmetros da Nova História Cultural, visando ampliar a compreensão sobre os fatos e acontecimentos nos panoramas regional, nacional e global.Palavras-chave: História Regional. Baldo S/A. Rio Grande do Sul
Functions with prescribed singularities
No full textThe distributional -dimensional Jacobian of a map in the Sobolev space which takes values in the the sphere can be viewed as the boundary of a rectifiable current of codimension carried by (part of) the singularity of which is topologically relevant.
The main purpose of this paper is to investigate the range of the Jacobian operator; in particular, we show that any boundary of codimension can be realized as Jacobian of a Sobolev map valued in .
In case is polyhedral, the map we construct is smooth outside plus an additional polyhedral set of lower dimension, and can be used in the constructive part of the proof of a -convergence result for functionals of Ginzburg-Landau type described in the paper "Variational convergence for functionals of Ginzburg-Landau type" by the same authors
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
Gamma-convergence and numerical analysis: an application to the minimal partitions problem
No full textVie di sviluppo e nuovi strumenti psicologici per l'individuazione di soggetti a rischio
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