Convolution inequalities in Lorentz spaces

In this paper we study boundedness of the convolution operator in different Lorentz spaces. In particular, we obtain the limit case of the Young-O'Neil inequality in the classical Lorentz spaces. We also investigate the convolution operator in the weighted Lorentz spaces. Finally, norm inequalities for the potential operator are presented.

Particle in an electromagnetic field: The Lorentz-Dirac equation

A new method to solve the Lorentz-Dirac equation in the presence of an external electromagnetic field is presented. The validity of the approximation is discussed, and the method is applied to a particle in the presence of a constant magnetic field.

Nouveau manuel complet du tisserand, ou Description des procédés et machines employés pour les divers tissages des matières organiques filamenteuses ; suivi d'une Histoire de la filature et du tissage, depuis les temps les plus reculés jusqu'à nos jours / par E. Lorentz et C.-E. Jullien,...

Collection : Manuels Roret

[Archives de la Parole]. , Een liedje van de zee : neederlandsch lied / [Julius Röntgen, comp.] ; Hendrik Christiaan van Oort, baryton-basse ; accompagnement de piano. O kerstnacht, schooner dan de daegen : [kerstlied] / [Cornelis Padbrué ou Dirck Janszoon Sweeling, comp.] ; Hendrik Christiaan van Oort, baryton-basse

Néerlandais (flamand)

Efeito da disponibilidade de água e de luz na colonização micorrízica e no crescimento de Tabebuia avellanedae Lorentz ex Griseb. (Bignoniaceae)

Em plantas cultivadas em substrato não esterilizado, inoculado ou não com fungos micorrízicos arbusculares, analisou-se, através de dois experimentos em separado, o efeito de quatro intensidades de luz (70%, 50%, 30% e 4% da luz solar incidente) e de dois regimes hídricos (saturado e insaturado) sobre o crescimento e micorrização de plântulas de Tabebuia avellanedae Lorentz ex Griseb. (ipê-roxo; Bignoniaceae). As variáveis analisadas foram área foliar, massa seca à altura do caule, taxas de crescimento, densidade estomática, teor de prolina e intensidade de colonização micorrízica. As plântulas apresentaram diferenças morfológicas, fisiológicas e na intensidade de colonização micorrízica, em função dos tratamentos aplicados. Essas diferenças foram no sentido de minimizar os possíveis estresses causados por intensidade luminosa e disponibilidade hídrica desfavoráveis. Os resultados permitiram o relato de que os ajustamentos morfológicos e fisiológicos apresentados pela espécie podem conferir a ela vantagens no estabelecimento de plântulas em clareiras e ambientes mais secos e, também, na sobrevivência em ambientes mais sombreados.

Spacelike maximal surfaces in 3D Lorentz-Minkowski space

We investigate spacelike maximal surfaces in 3-dimensional Lorentz-Minkowski space, give an Enneper-Weierstrass representation of such surfaces and classify those with a Lorentzian or Euclidian rotation symmetry.

Recurrence and higher ergodic properties for quenched random Lorentz tubes in dimension bigger than two

We consider the billiard dynamics in a non-compact set of ℝ d that is constructed as a bi-infinite chain of translated copies of the same d-dimensional polytope. A random configuration of semi-dispersing scatterers is placed in each copy. The ensemble of dynamical systems thus defined, one for each global realization of the scatterers, is called quenched random Lorentz tube. Under some fairly general conditions, we prove that every system in the ensemble is hyperbolic and almost every system is recurrent, ergodic, and enjoys some higher chaotic properties.

Recurrence for quenched random Lorentz tubes

We consider the billiard dynamics in a striplike set that is tessellated by countably many translated copies of the same polygon. A random configuration of semidispersing scatterers is placed in each copy. The ensemble of dynamical systems thus defined, one for each global choice of scatterers, is called quenched random Lorentz tube. We prove that under general conditions, almost every system in the ensemble is recurrent.

Lorentz violation and the proper-time method

In this Letter, we apply the proper-time method to generate the Lorentz-violating Chern-Simons terms in the four-dimensional Yang-Mills and non-linearized gravity theories. It is shown that the coefficient of the induced Chern-Simons term is finite but regularization dependent. (C) 2008 Elsevier B.V. All rights reserved.

Bjorling problem for timelike surfaces in the Lorentz-Minkowski space

We solve the Bjorling problem for timelike surfaces in the Lorentz-Minkowski space through a split-complex representation formula obtained for this kind of surface. Our approach uses the split-complex numbers and natural split-holomorphic extensions. As applications, we show that the minimal timelike surfaces of revolution as well as minimal ruled timelike surfaces can be characterized as solutions of certain adequate Bjorling problems in the Lorentz-Minkowski space. (C) 2010 Elsevier Inc. All rights reserved.

Hamiltonian constraint analysis of vector field theories with spontaneous Lorentz symmetry breaking

Recent investigations of various quantum-gravity theories have revealed a variety of possible mechanisms that lead to Lorentz violation. One of the more elegant of these mechanisms is known as Spontaneous Lorentz Symmetry Breaking (SLSB), where a vector or tensor field acquires a nonzero vacuum expectation value. As a consequence of this symmetry breaking, massless Nambu-Goldstone modes appear with properties similar to the photon in Electromagnetism. This thesis considers the most general class of vector field theories that exhibit spontaneous Lorentz violation-known as bumblebee models-and examines their candidacy as potential alternative explanations of E&M, offering the possibility that Einstein-Maxwell theory could emerge as a result of SLSB rather than of local U(1) gauge invariance. With this aim we employ Dirac's Hamiltonian Constraint Analysis procedure to examine the constraint structures and degrees of freedom inherent in three candidate bumblebee models, each with a different potential function, and compare these results to those of Electromagnetism. We find that none of these models share similar constraint structures to that of E&M, and that the number of degrees of freedom for each model exceeds that of Electromagnetism by at least two, pointing to the potential existence of massive modes or propagating ghost modes in the bumblebee theories.