Multidimensional Diffusion Processes. (= Grundlehren der mathematischen Wissenschaften, Band 233).

Stroock, Daniel W. and S.R.S. Varadhan:

ISBN 10: 3540903534 / ISBN 13: 9783540903536

Published by Berlin, Springer, 1979

About this Item

xii, 338 Seiten Einband etwas berieben, Bibl.Ex., innen guter und sauberer Zustand 9783540903536 Sprache: Englisch Gewicht in Gramm: 900 8° , Leinen- Hardcover/Pappeinband,

Seller Inventory # 169526

Bibliographic Details

• Title: Multidimensional Diffusion Processes. (= Grundlehren der mathematischen Wissenschaften, Band 233).
• Publisher: Berlin, Springer
• Publication Date: 1979
• Language: English
• ISBN 10: 3540903534
• ISBN 13: 9783540903536
• Binding: Hardcover
• Edition: 1.Auflage,.
• Weight: 900 grams
• Seller catalogs:
  • Mathematik

About this title

Synopsis

This book is an excellent presentation of the application of martingale theory to the theory of Markov processes, especially multidimensional diffusions. This approach was initiated by Stroock and Varadhan in their famous papers. (...) The proofs and techniques are presented in such a way that an adaptation in other contexts can be easily done. (...) The reader must be familiar with standard probability theory and measure theory which are summarized at the beginning of the book. This monograph can be recommended to graduate students and research workers but also to all interested in Markov processes from a more theoretical point of view.

From the Back Cover

From the reviews:

"... Both the Markov-process approach and the Itô approach ... have been immensely successful in diffusion theory. The Stroock-Varadhan book, developed from the historic 1969 papers by its authors, presents the martingale-problem approach as a more powerful - and, in certain regards, more intrinsic-means of studying the foundations of the subject. [...] ... the authors make the uncompromising decision not "to proselytise by intimidating the reader with myriad examples demonstrating the full scope of the techniques", but rather to persuade the reader "with a careful treatment of just one problem to which they apply". [...] Most of the main tools of stochastic-processes theory are used, ..but it is the formidable combination of probability theory with analysis ... which is the core of the work. [...] I have emphasized the great importance of the Stroock-Varadhan book. It contains a lot more than I have indicated; in particular, its many exercises conain much interesting material.
For immediate confirmation of the subject’s sparkle, virtuosity, and depth, see ... McKean (‘s 1969 book). The Stroock-Varadhan book proceeds on its inexorable way like a massive Bach fugue. ... But old J.S. can e something of knockout if his themes get hold of you. And his influence on what followed was 8you may say) substantial."
David Williams in the Bulletin of the American Mathematical Society