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  • Conference proceedings
  • © 2013

Malliavin Calculus and Stochastic Analysis

A Festschrift in Honor of David Nualart

  • Its scope spans most uses of the Malliavin calculus
  • Gathers most of the major players in Malliavin calculus and stochastic analysis worldwide
  • Honors Professor David Nualart, who is considered by many as the world leader in propagating the Malliavin calculus
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 34)

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Table of contents (25 papers)

  1. Front Matter

    Pages i-xi
  2. Malliavin Calculus and Wiener Space Theory

    1. Front Matter

      Pages 1-1
    2. Local Invertibility of Adapted Shifts on Wiener Space and Related Topics

      • RĆ©mi Lassalle, A. S. ƜstĆ¼nel
      Pages 25-76
    3. Dilation Vector Field on Wiener Space

      • HĆ©lĆØne Airault
      Pages 77-94
  3. Stochastic Differential Equations

    1. Front Matter

      Pages 113-113
    2. Large Deviations for Hilbert-Space-Valued Wiener Processes: A Sequence Space Approach

      • Andreas Andresen, Peter Imkeller, Nicolas Perkowski
      Pages 115-138
    3. Stationary Distributions for Jump Processes with Inert Drift

      • K. Burdzy, T. Kulczycki, R. L. Schilling
      Pages 139-172
    4. Escape Probability for Stochastic Dynamical Systems with Jumps

      • Huijie Qiao, Xingye Kan, Jinqiao Duan
      Pages 195-216
  4. Stochastic Partial Differential Equations

    1. Front Matter

      Pages 217-217
    2. Intermittency and Chaos for a Nonlinear Stochastic Wave Equation in Dimension 1

      • Daniel Conus, Mathew Joseph, Davar Khoshnevisan, Shang-Yuan Shiu
      Pages 251-279
    3. Generalized Stochastic Heat Equations

      • David MĆ”rquez-Carreras
      Pages 281-297
  5. Fractional Brownian Models

    1. Front Matter

      Pages 333-333
    2. A Strong Approximation of Subfractional Brownian Motion by Means of Transport Processes

      • Johanna GarzĆ³n, Luis G. Gorostiza, Jorge A. LeĆ³n
      Pages 335-360

About this book

The stochastic calculus of variations of Paul Malliavin (1925 - 2010), known today as the Malliavin Calculus, has found many applications, within and beyond the core mathematical discipline. Stochastic analysis provides a fruitful interpretation of this calculus, particularly as described by David Nualart and the scores of mathematicians he influences and with whom he collaborates. Many of these, including leading stochastic analysts and junior researchers, presented their cutting-edge research at an international conference in honor of David Nualart's career, on March 19-21, 2011, at the University of Kansas, USA. These scholars and other top-level mathematicians have kindly contributed research articles for this refereed volume.

Editors and Affiliations

  • , Department of Statistics, Purdue University, West Lafayette, USA

    Frederi Viens

  • , Department of Mathematics, University of Kansas, Lawrence, USA

    Jin Feng

  • Dept. Mathematics, University of Kansas, Lawrence, USA

    Yaozhong Hu

  • , Department of Economics and Business, University Pompeu Fabra, Barcelona, Spain

    Eulalia NualartĀ 

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
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