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  • Conference proceedings
  • © 2014

Stochastic Analysis and Applications 2014

In Honour of Terry Lyons

  • Is a unique collection of articles by leading experts
  • Provides up-to-date overview on the field and its ongoing developments
  • Written in honour of Terry Lyons whose work revolutionized the field
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 100)

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Table of contents (16 papers)

  1. Front Matter

    Pages i-xxvi
  2. Cutting Edges at Random in Large Recursive Trees

    • Erich Baur, Jean Bertoin
    Pages 51-76
  3. The Master Equation for Large Population Equilibriums

    • René Carmona, François Delarue
    Pages 77-128
  4. The Filtering Equations Revisited

    • Thomas Cass, Martin Clark, Dan Crisan
    Pages 129-162
  5. On the Stochastic Least Action Principle for the Navier-Stokes Equation

    • Ana Bella Cruzeiro, Remi Lassalle
    Pages 163-184
  6. KMT Theory Applied to Approximations of SDE

    • Alexander Davie
    Pages 185-201
  7. Regularity Theory for Rough Partial Differential Equations and Parabolic Comparison Revisited

    • Joscha Diehl, Peter K. Friz, Harald Oberhauser
    Pages 203-238
  8. Time-Inconsistent Portfolio Investment Problems

    • Yidong Dong, Ronnie Sircar
    Pages 239-281
  9. Spatial Risk Measures: Local Specification and Boundary Risk

    • Hans Föllmer, Claudia Klüppelberg
    Pages 307-326
  10. On Villat’s Kernels and BMD Schwarz Kernels in Komatu-Loewner Equations

    • Masatoshi Fukushima, Hiroshi Kaneko
    Pages 327-348
  11. Skew-Unfolding the Skorokhod Reflection of a Continuous Semimartingale

    • Tomoyuki Ichiba, Ioannis Karatzas
    Pages 349-376
  12. Normal Approximation on a Finite Wiener Chaos

    • David Nualart
    Pages 377-395
  13. An Overview of Viscosity Solutions of Path-Dependent PDEs

    • Zhenjie Ren, Nizar Touzi, Jianfeng Zhang
    Pages 397-453
  14. Back Matter

    Pages 503-503

About this book

Articles from many of the main contributors to recent progress in stochastic analysis are included in this volume, which provides a snapshot of the current state of the area and its ongoing developments. It constitutes the proceedings of the conference on "Stochastic Analysis and Applications" held at the University of Oxford and the Oxford-Man Institute during 23-27 September, 2013. The conference honored the 60th birthday of Professor Terry Lyons FLSW FRSE FRS, Wallis Professor of Mathematics, University of Oxford. Terry Lyons is one of the leaders in the field of stochastic analysis. His introduction of the notion of rough paths has revolutionized the field, both in theory and in practice. 

Stochastic Analysis is the branch of mathematics that deals with the analysis of dynamical systems affected by noise. It emerged as a core area of mathematics in the late 20th century and has subsequently developed into an important theory with a wide range of powerful and novel tools, and with impressive applications within and beyond mathematics. Many systems are profoundly affected by stochastic fluctuations and it is not surprising that the array of applications of Stochastic Analysis is vast and touches on many aspects of life.  

The present volume is intended for researchers and Ph.D. students in stochastic analysis and its applications, stochastic optimization and financial mathematics, as well as financial engineers and quantitative analysts.

Editors and Affiliations

  • Department of Mathematics, Imperial College, London, United Kingdom

    Dan Crisan

  • Mathematical Institute, University of Oxford, Oxford, United Kingdom

    Ben Hambly

  • Department of Mathematics and IROM, University of Texas McCombs School of Business, Austin, USA

    Thaleia Zariphopoulou

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