Stochastic Differential Equations on Manifolds

Stochastic Differential Equations on Manifolds
Author :
Publisher : Cambridge University Press
Total Pages : 347
Release :
ISBN-10 : 9780521287678
ISBN-13 : 0521287677
Rating : 4/5 (677 Downloads)

Book Synopsis Stochastic Differential Equations on Manifolds by : K. D. Elworthy

Download or read book Stochastic Differential Equations on Manifolds written by K. D. Elworthy and published by Cambridge University Press. This book was released on 1982 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aims of this book, originally published in 1982, are to give an understanding of the basic ideas concerning stochastic differential equations on manifolds and their solution flows, to examine the properties of Brownian motion on Riemannian manifolds when it is constructed using the stochiastic development and to indicate some of the uses of the theory. The author has included two appendices which summarise the manifold theory and differential geometry needed to follow the development; coordinate-free notation is used throughout. Moreover, the stochiastic integrals used are those which can be obtained from limits of the Riemann sums, thereby avoiding much of the technicalities of the general theory of processes and allowing the reader to get a quick grasp of the fundamental ideas of stochastic integration as they are needed for a variety of applications.


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