We consider the possible effects of gravitational lensing by globular clusters on gravitational waves from asymmetric neutron stars in our galaxy. In the lensing of gravitational waves, the long wavelength, compared with the usual case of optical lensing, can lead to the geometrical optics approximation being invalid, in which case a wave optical solution is necessary. In general, wave optical ...

We study the branching random walk on weighted graphs; site-breeding and edgebreeding branching random walks on graphs are seen as particular cases. Two kinds of survival can be identified: a weak survival (with positive probability there is at least one particle alive somewhere at any time) and a strong survival (with positive probability the colony survives by returning infinitely often to a ...

thin clouds, otherwise extremely difficult to monitor from passive satellite sensors. We use 4 yr of data (June 2006–May 2010) over the circumpolar Arctic, here defined as 67–82◦N, and characterize probability density functions of cloud base and top heights, geometrical thickness and zonal distribution of such cloud layers, separately for water and ice phases, and discuss seasonal variability o...

We study bounds on the effective conductivity and elastic moduli of two-phase isotropic composites that depend on geometrical parameters that take into account up to three-point statistical information concerning the composite microstructure. We summarize existing bounds, apply a special fractional linear transformation to simplify their functional forms, and describe two approaches to improve ...

The recent discovery of a very high degree of linear polarization in the prompt emission of GRB 021206 (Coburn & Boggs 2003) has suggested that synchrotron emission may play a dominant role in the production of the prompt γ-ray photons. We here show that, under certain geometrical conditions, an even higher level of linear polarization is expected if the photons are produced by bulk inverse Com...

We consider a class of Gibbs measures on self-affine Sierpinski carpets and perform the multifractal analysis of its elements. These deterministic measures are Gibbs measures associated with bundle random dynamical systems defined on probability spaces whose geometrical structure plays a central rôle. A special subclass of these measures is the class of multinomial measures on Sierpinski carpet...

Recent approaches to the problem of inferring a continuous probability distribution from a finite set of data have used a scalar field theory for the form of the prior probability distribution. This paper presents a more general form for the prior distribution that has a geometrical interpretation and can improve the specificity of likely solutions. It is also demonstrated that a numerical samp...

Existing methods for text detection in images are simple: most of them are based on texture estimation or edge detection followed by an accumulation of these characteristics. Geometrical constraints are enforced by most of the methods. However, it is done in a morphological post-processing step only. It is obvious, that a weak detection is very difficult — up to impossible — to correct in a pos...