Author : Jan A Van Casteren
Release : 2010-11-25
Genre : Mathematics
Kind : eBook
Book Rating : 171/5 ( reviews)
Book Synopsis Markov Processes, Feller Semigroups And Evolution Equations by : Jan A Van Casteren
Download or read book Markov Processes, Feller Semigroups And Evolution Equations written by Jan A Van Casteren. This book was released on 2010-11-25. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space. It describes its generators and the link with stochastic differential equations in infinite dimensions. In a unifying way, where the square gradient operator is employed, new results for backward stochastic differential equations and long-time behavior are discussed in depth. The book also establishes a link between propagators or evolution families with the Feller property and time-inhomogeneous Markov processes. This mathematical material finds its applications in several branches of the scientific world, among which are mathematical physics, hedging models in financial mathematics, and population models.