TY - BOOK AU - Protter,Philip E. TI - Stochastic integration and differential equations T2 - Applications of mathematics, SN - 3540003134 AV - QA274.22 .P76 2004 U1 - 519.2 22 PY - 2004///] CY - Berlin, New York PB - Springer KW - Martingales (Mathematics) KW - Stochastic differential equations KW - Stochastic integrals N1 - Includes bibliographical references (pages 389-401) and index; I; Preliminaries --; II; Semimartingales and Stochastic Integrals --; III; Semimartingales and Decomposable Processes --; IV; General Stochastic Integration and Local Times --; V; Stochastic Differential Equations --; VI; Expansion of Filtrations N2 - This new edition has several significant changes, most prominently the addition of exercises for solution. These are intended to supplement the text, but lemmas needed in a proof are never relegated to the exercises. New topics added include an introduction to the theory of the expansion of filtrations, a treatment of the Fefferman martingale inequality, and that the dual space of the martingale space H^1 can be identified with BMO martingales. Solutions to selected exercises are available at the web site of the author, with current URL http://www.orie.cornell.edu/~protter/books.html ER -