Large deviations and invariant measures for stochastic partial differential equations in infinite dimensions

This thesis consists of two parts. We start with some background theory that will be used throughout the thesis. Then, in the first part, we investigate the invariant measures of stochastic evolution equations of pure jump type and obtain a characterization of invariant measures. As an application,...

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Bibliographic Details
Main Author: Xu, Tiange
Published: University of Manchester 2009
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.496642
Description
Summary:This thesis consists of two parts. We start with some background theory that will be used throughout the thesis. Then, in the first part, we investigate the invariant measures of stochastic evolution equations of pure jump type and obtain a characterization of invariant measures. As an application, it is shown that the equation has a unique invariant probability measure under some reasonable conditions.