摘 要:Rapidly oscillating functions associated with Lagrangian submanifolds play a fundamental role in semiclassical analysis. In this talk I will describe how to associate classes of semiclassical oscillating functions to isotropic submanifolds of phase space, and show that these classes are invariant under the action of Fourier integral operators (modulo the usual clean intersection conditio...
Abstract:In this talk, I will discuss in detail the convergence result of the Gaussian mixture particle filters, in which each particle in the estimation system is regarded as a Gaussian distributed random variable, rather than a simple particle as in the classical particle filters. The convergence rate of the particle system will be given. The relationship between the Gaussian mixture particl...