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Stochastic evolution equations and related measure processes
Authors:DA Dawson
Institution:Department of Mathematics, Carleton University, Ottawa, Canada
Abstract:Basic results on stochastic differential equations in Hilbert and Banach space, linear stochastic evolution equations and some classes of nonlinear stochastic evolution equations are reviewed. The emphasis is on equations relevant to the study of spacetime stochastic processes. In particular the class of measure processes, the continuous analogs of spacetime population processes, is studied in detail.
Keywords:Stochastic evolution equations  spacetime stochastic process  measure process  60H05  60H20
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