Test of tectonic models by great circle Rayleigh waves

Propagation of tectonic waves

Rayleigh Waves

The table of source phase differences between Rayle igh and Love waves which was described in Pa r t I and used in Pa r t 2 is presented in a concise form for the case of a surface focus.

Localization of Rayleigh waves

We study the localization of Rayleigh waves propagating in a semi-infinite and isotropic medium with inhomogeneities that are modeled as rods parallel to the incoming wave front and are distributed randomly up to a maximum depth. For a perfectly smooth surface, the localization length of a Rayleigh wave is predicted to reach a minimum at intermediate wavelength l and to diverge for both low and...

Resonance Expansions and Rayleigh Waves

In this paper we study expansions of solutions of the wave equation in a compact set with initial data supported in the same set. We consider the general framework of the “black box scattering” introduced by Sjöstrand and Zworski [SjZ] (see sec. 2). In particular, this includes the clasical case of scattering by obstacle with Dirichlet or Neumann boundary conditions and metric perturbations of ...

The Sis Great Circle Epidemic Model

We consider a stochastic SIS model for the spread of an epidemic amongst a population of n individuals that are equally spaced upon the circumference of a circle. Whilst infectious, an individual, i say, makes both local and global infectious contacts at the points of homogeneous Poisson point processes. Global contacts are made uniformly at randomwithmembers of the entire population, whilst lo...