Our purpose is to investigate the effect of a thin dielectric coating on the scattering of a time-harmonic electromagnetic wave by a perfectly conducting metal. An asymptotic expansion of the solution of a model problem is performed relatively to the thickness of the dielectric shell. A suitable scaling as well as an adapted writing of the the curl operator inside the thin shell make it possibl...

The analysis of stochastic loss networks has long been of interest in computer and communications networks and is becoming important in the areas of service and information systems. In traditional settings computing thewell-knownErlang formula for blocking probabilities in these systems becomes intractable for larger resource capacities. Using compound point processes to capture stochastic vari...

Anosov representations give a higher-rank analogue of convex cocompactness in rank-one Lie group which shares many its good geometric and dynamical properties; finiteness rank one may be seen as controlled weakening to allow for isolated failures hyperbolicity. We introduce relatively dominated relativization representations, or other words finiteness. prove that groups admitting must hyperboli...

Psychological characteristics of 56 Colombian male street children, aged 7 to 16, were examined from participant observations and results of three psychological tests given the children. The Kohs Block Design measured their intelligence; and the Human Figure Drawing and the Bender Gestalt measured emotional and neurological functioning. The test data showed the sample to be relatively healthy, ...

In the course of this paper, the Optimal Homotopy Asymptotic Method (OHAM) introduced by Marica is applied to solve linear and nonlinear boundary value problems both for fourth-order integro-differential equations. The following analysis is accompanied by numerical examples whose results show that the Optimal Homotopy Asymptotic Method is highly accurate, convenient and relatively efficient for...