Brownian Motion and Stochastic Calculus (Paperback, 2nd Corrected ed. 1998. Corr. 6th printing 2004)

A graduate-course text, written for readers familiar with measure-theoretic probability and discrete-time processes, wishing to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed, illustrated by results concerning representations of martingales and change of measure on Wiener space, which in turn permit a presentation of recent advances in financial economics. The book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The whole is backed by a large number of problems and exercises.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Graduate Texts in Mathematics, 113
Release date:	August 2004
First published:	1998
Authors:	Ioannis Karatzas • Steven Shreve
Dimensions:	235 x 155 x 26mm (L x W x T)
Format:	Paperback
Pages:	470
Edition:	2nd Corrected ed. 1998. Corr. 6th printing 2004
ISBN-13:	978-0-387-97655-6
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
LSN:	0-387-97655-8
Barcode:	9780387976556

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