We pursue a low-wavenumber, second-order homogenized solution of the time-harmonic wave equation at both low and high frequency in periodic media with source term whose resides inside a...

Blind Source Separation (BSS) arises in a variety of fields in speech processing such as speech enhancement, speakers diarization and identification. Generally, methods for BSS consider several observations of the same recording. Single microphone analysis is the worst underdetermined case, but, it is also the more realistic one. In this article, the autoregressive structure (short term predict...

We study a distinguished limit for general 22 hyperbolic systems with relaxation, which is valid in both the subcharacteristic and supercharacteristic cases. This is a weakly nonlinear limit, which leads the underlying relaxation systems into Burgers equation with a source term; the sign of the source term depends on the characteristic interleaving condition. In the supercharacteristic case, th...

The one-dimensional deterministic economic model recently studied by GonzálezEstévez et al. [Physica A 387, 4367 (2008)] is considered on a two-dimensional square lattice with periodic boundary conditions. In this model, the evolution of each agent is described by a map coupled with its nearest neighbors. The map has two factors: a linear term that accounts for the agent’s own tendency to grow ...

For families of partial differential equations (PDEs) with particular boundary conditions, strict Lyapunov functions are constructed. The PDEs under consideration are parabolic and, in addition to the diffusion term, may contain a nonlinear source term plus a convection term. The boundary conditions may be either the classical Dirichlet conditions, or the Neumann boundary conditions or a period...

— We use Fourier Analysis to investigate evolutionary dynamics related to periodicities in marine fossil biodiversity. Coherent periodic fluctuation in both origination and extinction of “short-lived” genera (those that survive <45 million years) is the source of an observed ~62 million year periodicity (which we confirmed in Paper I and also found to be ubiquitous in global compilations of mar...

A general formulation of Dyadic Green’s function for a point source above a two-dimensional periodic boundary is presented in spectral form. This formulation is simplified by considering only the zero term of the infinite Floquet modes. Then it is applied to obtain the Dyadic Green’s function of a printed source above a dielectric slab with periodically defected ground plane by using a generali...

This article proposes a conceptual framework for ranking the relative gravity of diverse risks. This framework identifies the moral considerations that should inform the evaluation and comparison of diverse risks. A common definition of risk includes two dimensions: the probability of occurrence and the associated consequences of a set of hazardous scenarios. This article first expands this def...