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  • © 1999

Continuous Martingales and Brownian Motion

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 293)

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XI
  2. Preliminaries

    • Daniel Revuz, Marc Yor
    Pages 1-14
  3. Introduction

    • Daniel Revuz, Marc Yor
    Pages 15-49
  4. Martingales

    • Daniel Revuz, Marc Yor
    Pages 51-77
  5. Markov Processes

    • Daniel Revuz, Marc Yor
    Pages 79-117
  6. Stochastic Integration

    • Daniel Revuz, Marc Yor
    Pages 119-178
  7. Representation of Martingales

    • Daniel Revuz, Marc Yor
    Pages 179-220
  8. Local Times

    • Daniel Revuz, Marc Yor
    Pages 221-280
  9. Generators and Time Reversal

    • Daniel Revuz, Marc Yor
    Pages 281-323
  10. Girsanov’s Theorem and First Applications

    • Daniel Revuz, Marc Yor
    Pages 325-364
  11. Stochastic Differential Equations

    • Daniel Revuz, Marc Yor
    Pages 365-400
  12. Additive Functionals of Brownian Motion

    • Daniel Revuz, Marc Yor
    Pages 401-438
  13. Bessel Processes and Ray-Knight Theorems

    • Daniel Revuz, Marc Yor
    Pages 439-470
  14. Excursions

    • Daniel Revuz, Marc Yor
    Pages 471-513
  15. Limit Theorems in Distribution

    • Daniel Revuz, Marc Yor
    Pages 515-542
  16. Back Matter

    Pages 543-606

About this book

From the reviews: "This is a magnificent book! Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion. The great strength of Revuz and Yor is the enormous variety of calculations carried out both in the main text and also (by implication) in the exercises. ... This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises, and throwing out challenging remarks about areas awaiting further research..."
Bull.L.M.S. 24, 4 (1992) Since the first edition in 1991, an impressive variety of advances has been made in relation to the material of this book, and these are reflected in the successive editions.

Reviews

This is a magnificent book! Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion. The great strength of Revuz and Yor is the enormous variety of calculations carried out both in the main text and also (by implication) in the exercises. ... This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises, and throwing out challenging remarks about areas awaiting further research..." Bull.L.M.S. 24, 4 (1992)

From the reviews of the third edition:

"The authors have revised the second edition of their fundamental and impressive monograph on Brownian motion and continuous martingales … . The presentation of this book is unique in the sense that a concise and well-written text is complemented by a long series of detailed exercises. … This third edition contains some additional exercises related to recent advances in the subject. … is a valuable update of this basic reference book, which has been very helpful for researchers and students … ." (David Nualart, Zentralblatt MATH, Vol. 1087, 2006)

Authors and Affiliations

  • Départment de Mathématiques, Université Paris VII, Paris Cedex 05, France

    Daniel Revuz

  • Laboratoire de Probabilités, Université Pierre et Marie Curie, Paris Cedex 05, France

    Marc Yor

Bibliographic Information

  • Book Title: Continuous Martingales and Brownian Motion

  • Authors: Daniel Revuz, Marc Yor

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-662-06400-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Hardcover ISBN: 978-3-540-64325-8Published: 18 December 1998

  • Softcover ISBN: 978-3-642-08400-3Published: 01 December 2010

  • eBook ISBN: 978-3-662-06400-9Published: 09 March 2013

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 3

  • Number of Pages: XIII, 602

  • Topics: Probability Theory and Stochastic Processes

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access