Stochastic Analysis
eBook - PDF

Stochastic Analysis

Itô and Malliavin Calculus in Tandem

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

Stochastic Analysis

Itô and Malliavin Calculus in Tandem

About this book

Thanks to the driving forces of the Itô calculus and the Malliavin calculus, stochastic analysis has expanded into numerous fields including partial differential equations, physics, and mathematical finance. This book is a compact, graduate-level text that develops the two calculi in tandem, laying out a balanced toolbox for researchers and students in mathematics and mathematical finance. The book explores foundations and applications of the two calculi, including stochastic integrals and differential equations, and the distribution theory on Wiener space developed by the Japanese school of probability. Uniquely, the book then delves into the possibilities that arise by using the two flavors of calculus together. Taking a distinctive, path-space-oriented approach, this book crystallizes modern day stochastic analysis into a single volume.

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Yes, you can access Stochastic Analysis by Hiroyuki Matsumoto,Setsuo Taniguchi in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title page
  3. Series page
  4. Title page
  5. Copyright page
  6. Contents
  7. Preface
  8. Frequently Used Notation
  9. 1 Fundamentals of Continuous Stochastic Processes
  10. 2 Stochastic Integrals and Itô's Formula
  11. 3 Brownian Motion and the Laplacian
  12. 4 Stochastic Differential Equations
  13. 5 Malliavin Calculus
  14. 6 The Black–Scholes Model
  15. 7 The Semiclassical Limit
  16. Appendix Some Fundamentals
  17. References
  18. Index