Area Maximizing Surfaces in Lorentzian Spaces

In this paper we provide new results for area maximizing compact spacelike surfaces with boundary embedded in Lorentz-Minkowski space, as well as establish the uniqueness of the Dirichlet problem for maximal graphs in the aforementioned space. Moreover, we extend our results to more general Lorentzian spaces that admit an in nitesimal timelike symmetry

Influence of Tempo and Rhythmic Unit in Musical Emotion Regulation

This article is based on the assumption of musical power to change the listener's mood. The paper studies the outcome of two experiments on the regulation of emotional states in a series of participants who listen to different auditions. The present research focuses on note value, an important musical cue related to rhythm. The influence of two concepts linked to note value is analyzed separately and discussed together. The two musical cues under investigation are tempo and rhythmic unit. The participants are asked to label music fragments by using opposite meaningful words belonging to four semantic scales, namely “Tension” (ranging from Relaxing to Stressing), “Expressiveness” (Expressionless to Expressive), “Amusement” (Boring to Amusing) and “Attractiveness” (Pleasant to Unpleasant). The participants also have to indicate how much they feel certain basic emotions while listening to each music excerpt. The rated emotions are “Happiness,” “Surprise,” and “Sadness.” This study makes it possible to draw some interesting conclusions about the associations between note value and emotions

A Lamperti-type representation of continuous-state branching processes with immigration

Guided by the relationship between the breadth-first walk of a rooted tree and its sequence of generation sizes, we are able to include immigration in the Lamperti representation of continuous-state branching processes. We provide a representation of continuous-state branching processes with immigration by solving a random ordinary differential equation driven by a pair of independent Levy processes. Stability of the solutions is studied and gives, in particular, limit theorems (of a type previously studied by Grimvall, Kawazu and Watanabe and by Li) and a simulation scheme for continuous-state branching processes with immigration. We further apply our stability analysis to extend Pitman's limit theorem concerning Galton-Watson processes conditioned on total population size to more general offspring laws.Comment: Published in at http://dx.doi.org/10.1214/12-AOP766 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org

Generating functions and companion symmetric linear functionals

14 pages, no figures.-- MSC2000 codes: 33C45, 42C05.MR#: MR2004670 (2004i:33016)Zbl#: Zbl 1047.33004In this contribution we analyze the generating functions for polynomials orthogonal with respect to a symmetric linear functional u, i.e., a linear application in the linear space of polynomials with complex coefficients such that $$u\left({x^{2n+1}}\right)=0$$. In some cases we can deduce explicitly the expression for the generating function $${\mathcal{P}}\left({x,w}\right)=\sum\limits_{n=0}^\infty {c_n P_n \left(x \right)w^n ,}$$ where {Pn}n is the sequence of orthogonal polynomials with respect to u.Second author (S.G.M.)'s research supported by Junta de Andalucía, Grupo de Investigación FQM 0178. Third author (F.M.)'s research supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain, Grant BFM 2000-0206-C04-01 and INTAS Project 2000-272.Publicad

Gain-Reconfigurable Hybrid Metal-Graphene Printed Yagi Antenna for Energy Harvesting Applications

This paper presents a hybrid metal-graphene printed Yagi antenna with reconfigurable gain that operates in the 5.5-GHz band. The balun and the driven elements are made of copper, while the directors are made of graphene. The graphene acts as a tunable material in the design. By switching the conductivity of the graphene, it is achieved a similar effect to adding or subtracting directors in the antenna. Hence the gain of the printed Yagi can be easily controlled. This could be of special interest in RF energy harvesting in the design of reconfigurable harvesting elements.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech