The Malliavin calculus and related topics

Bibliographic Information

The Malliavin calculus and related topics

David Nualart

(Probability and its applications)

Springer, c2010

2nd ed

  • : [pbk]

Available at  / 2 libraries

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Note

Includes bibliographical references (p. [357]-375) and index

Description and Table of Contents

Description

The Malliavin calculus is an infinite-dimensional differential calculus on a Gaussian space, developed to provide a probabilistic proof to Hoermander's sum of squares theorem but has found a range of applications in stochastic analysis. This book presents the features of Malliavin calculus and discusses its main applications. This second edition includes recent applications in finance and a chapter devoted to the stochastic calculus with respect to the fractional Brownian motion.

Table of Contents

Analysis on the Wiener space.- Regularity of probability laws.- Anticipating stochastic calculus.- Transformations of the Wiener measure.- Fractional Brownian motion.- Malliavin Calculus in finance.- Malliavin Calculus in finance.

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Details

  • NCID
    BB21555900
  • ISBN
    • 9783642066511
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    xiv, 382 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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