Ehrhart polynomials, successive minima, and an Ehrhart theory for rational dilates of a rational polytope

Magdeburg, Univ., Fak. für Mathematik, Diss., 2011

Low autocorrelation sequences and flat polynomials

Magdeburg, Univ., Fak. für Mathematik, Habil.-Schr., 2014

Asymptotics of orthogonal polynomials via the Koosis theorem

The main aim of this short paper is to advertize the Koosis theorem in the mathematical community, especially among those who study orthogonal polynomials. We (try to) do this by proving a new theorem about asymptotics of orthogonal polynomi- als for which the Koosis theorem seems to be the most natural tool. Namely, we consider the case when a SzegÄo measure on the unit circumference is perturbed by an arbitrary measure inside the unit disk and an arbitrary Blaschke sequence of point masses outside the unit disk.

Gains from switching and evolutionary stability in multi-player matrix games.

In this paper we unify, simplify, and extend previous work on the evolutionary dynamics of symmetric N-player matrix games with two pure strategies. In such games, gains from switching strategies depend, in general, on how many other individuals in the group play a given strategy. As a consequence, the gain function determining the gradient of selection can be a polynomial of degree N-1. In order to deal with the intricacy of the resulting evolutionary dynamics, we make use of the theory of polynomials in Bernstein form. This theory implies a tight link between the sign pattern of the gains from switching on the one hand and the number and stability of the rest points of the replicator dynamics on the other hand. While this relationship is a general one, it is most informative if gains from switching have at most two sign changes, as is the case for most multi-player matrix games considered in the literature. We demonstrate that previous results for public goods games are easily recovered and extended using this observation. Further examples illustrate how focusing on the sign pattern of the gains from switching obviates the need for a more involved analysis.

On the zeroes of Goss polynomials

"Vegeu el resum a l'inici del document del fitxer adjunt."

A sharp Remez inequality for trigonometric polynomials

Vegeu el resum a l'inici del document del fitxer adjunt.

An Autochthonous Case of Echinococcus vogeli Rausch & Bernstein, 1972 Polycystic Echinococcosis in the State of Rondônia, Brazil

The present case report refers to a patient from the State of Rondônia, North region of Brazil, attended with clinical suspicion of hepatic echinococcosis. Examination by imaging (ultrasonography and computerized tomography) revealed a conglomerate of cystic lesions, with mobile contents within the cyst. The serology (immunoblot) for Echinococcus sp. was positive (21 and 31 kDa bands). This case is the first reported in Rondônia, suggesting the need to investigate the polycystic echinococcosis in individuals with hepatic cysts from areas of tropical forest and hunting habits where wild life was present as wild dogs, cats and rodents, particularly Agouti paca (paca) and Dasyprocta aguti (agouti).

Sobolev orthogonal polynomials on a simplex

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Bernstein e o campo educacional: relevância, influências e incompreensões

O objetivo deste artigo é dar uma visão geral do trabalho de Bernstein e de sua importante contribuição para a teoria e a pesquisa no campo da sociologia da educação. Busca-se também explicar as razões de algumas incompreensões de seus conceitos e de sua orientação teórica. Para isso, o artigo está dividido em três partes. A primeira, procura mostrar como o trabalho de Bernstein é analisado no interior do campo acadêmico. A segunda, explora como o autor desenvolveu sua teoria, de acordo com a meta de avaliação que faz de seu trabalho. A terceira, volta-se para a análise de sua obra, baseada na extensa literatura educacional.

Bernstein, Dukheim e a sociologia da educação na Inglaterra

Neste texto o autor procura elucidar o modo pelo qual Basil Bernstein utilizou e enriqueceu a contribuição de Durkheim para a análise de questões abordadas pela sociologia da educação.

La teoría de los códigos: una entrevista a Basil Bernstein

En el contexto de esta monografía dedicada a la obra del profesor Bernstein pareció oportuno contar con alguna aportación Original del propio autor. Su obra clásica principal estando a punto de publicarse en castellano (ya aparecida al editarse este número de Temps d'Educació), surgió la idea de una entrevista -de una entrevista 'epistolar' en este caso.

Presentación de la monografía: Basil Bernstein

Esta monografía de Temps d'Educació está dedicada a la obra de Basil Bernstein, el gran sociólogo británico que ha desarrollado su reflexión sobre el sistema y las formas educativas durante los últimos 30 años. Su nombre y su teoría están indisolublemente asociados con las problemáticas de educación y clases sociales, así como educación y lenguaje, incluso con los orígenes de la social ingüística moderna, con la denominada 'nueva' sociología de la educación británica de los 70, y, desde luego, con las teorías de la educación como reproducción social y cultural.