Stochastic Differential Equations and Diffusion Processes
eBook - PDF

Stochastic Differential Equations and Diffusion Processes

  1. 572 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Stochastic Differential Equations and Diffusion Processes

About this book

Being a systematic treatment of the modern theory of stochastic integrals and stochastic differential equations, the theory is developed within the martingale framework, which was developed by J.L. Doob and which plays an indispensable role in the modern theory of stochastic analysis.A considerable number of corrections and improvements have been made for the second edition of this classic work. In particular, major and substantial changes are in Chapter III and Chapter V where the sections treating excursions of Brownian Motion and the Malliavin Calculus have been expanded and refined. Sections discussing complex (conformal) martingales and Kahler diffusions have been added.

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Yes, you can access Stochastic Differential Equations and Diffusion Processes by N. Ikeda,S. Watanabe in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
2014
Print ISBN
9780444873781
eBook ISBN
9781483296159

Table of contents

  1. Front Cover
  2. Stochastic Differential Equations and Diffusion Processes
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Preface to the Second Edition
  7. Preface
  8. General Notation
  9. CHAPTER I. Preliminaries
  10. CHAPTER II. Stochastic Integrals and Ito's Formula
  11. CHAPTER III. Stochastic Calculus
  12. CHAPTER IV. Stochastic Differential Equations
  13. CHAPTER V. Diffusion Processes on Manifolds
  14. CHAPTER VI. Theorems on Comparison and Approximation and their Applications
  15. Bibliography
  16. Index