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Bibliografische Details

Titel: Brownian Motion and Stochastic Calculus (Graduate Texts in Mathematics, 113)
Verlag: Springer
Erscheinungsjahr: 1991
Sprache: Englisch
ISBN-10: 0387976558
ISBN-13: 9780387976556
Einband: Softcover
Auflage: 2. Auflage
Zustand: good

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Inhaltsangabe

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.

Cr�ticas

Second Edition

I. Karatzas and S.E. Shreve

Brownian Motion and Stochastic Calculus

"A valuable book for every graduate student studying stochastic process, and for those who are interested in pure and applied probability. The authors have done a good job."―MATHEMATICAL REVIEWS

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Goodwill of Silicon Valley?s mission is to support our employees, our customers, and people with challenging barriers to employment; to raise their standard of living and improve their lives through our services and social enterprise. Founded in Santa Clara County in 1928, Goodwill of Silicon Valley is dedicated to improving employment opportunities, increasing standards of living, providing economic independence, and restoring our clients? sense of self-worth. We do this through workforce creation, vocational training, and environmental stewardship. With 18 retail stores, an online store, an extensive reuse/recycling operation, and our Contract Services division, we help people overcome barriers to employment, build sustainable livelihoods, and transform their lives and communities.

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