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From Stochastic Calculus to Mathematical Finance

The Shiryaev Festschrift

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Table of contents (31 chapters)

  1. Front Matter

    Pages I-XXXVII
  2. On Numerical Approximation of Stochastic Burgers' Equation

    • Aureli Alabert, István Gyongy
    Pages 1-15
  3. Optimal Time to Invest under Tax Exemptions

    • Vadim I. Arkin, Alexander D. Slastnikov
    Pages 17-32
  4. A Central Limit Theorem for Realised Power and Bipower Variations of Continuous Semimartingales

    • Ole E. Barndorff–Nielsen, Svend Erik Graversen, Jean Jacod, Mark Podolskij, Neil Shephard
    Pages 33-68
  5. Some Particular Problems of Martingale Theory

    • Alexander Cherny
    Pages 109-124
  6. Optimal Hedging with Basis Risk

    • Mark H. A. Davis
    Pages 169-187
  7. Moderate Deviation Principle for Ergodic Markov Chain. Lipschitz Summands

    • Bernard Delyon, Anatoly Juditsky, Robert Liptser
    Pages 189-209
  8. Remarks on Risk Neutral and Risk Sensitive Portfolio Optimization

    • Giovanni B. Di Masi, Lukasz Stettner
    Pages 211-226
  9. On Existence and Uniqueness of Reflected Solutions of Stochastic Equations Driven by Symmetric Stable Processes

    • Hans-Jürgen Engelbert, Vladimir P. Kurenok, Adrian Zalinescu
    Pages 227-248
  10. Enlargement of Filtration and Additional Information in Pricing Models: Bayesian Approach

    • Dario Gasbarra, Esko Valkeila, Lioudmila Vostrikova
    Pages 257-285
  11. A Minimax Result for f-Divergences

    • Alexander A. Gushchin, Denis A. Zhdanov
    Pages 287-294
  12. A Consumption–Investment Problem with Production Possibilities

    • Yuri Kabanov, Masaaki Kijima
    Pages 315-332
  13. Multiparameter Generalizations of the Dalang–Morton– Willinger Theorem

    • Yuri Kabanov, Yuliya Mishura, Ludmila Sakhno
    Pages 333-341
  14. Uniform Optimal Transmission of Gaussian Messages

    • Pavel K. Katyshev
    Pages 369-383

About this book

Dedicated to the eminent Russian mathematician Albert Shiryaev on the occasion of his 70th birthday, the Festschrift is a collection of papers, including several surveys, written by his former students, co-authors and colleagues. These reflect the wide range of scientific interests of the teacher and his Moscow school. The topics range from the disorder problems to stochastic calculus and their applications to mathematical economics and finance. A full biobibliography of Shiryaev’s works is included.

The book represents the modern state of art of many aspects of a quickly maturing theory and will be an essential source and reading for researchers in this area. The diversity of the topics and the comprehensive style of the papers make the book amenable and attractive for PhD students and young researchers.

Authors and Affiliations

  • Université de Franche-Comté, Besançon Cedex, France

    Yuri Kabanov

  • Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv, Israel

    Robert Liptser

  • School of Mathematics & Statistics, University of Newcastle, University of Newcastle, UK

    Jordan Stoyanov

Bibliographic Information

  • Book Title: From Stochastic Calculus to Mathematical Finance

  • Book Subtitle: The Shiryaev Festschrift

  • Authors: Yuri Kabanov, Robert Liptser, Jordan Stoyanov

  • DOI: https://doi.org/10.1007/978-3-540-30788-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2006

  • Hardcover ISBN: 978-3-540-30782-2Published: 09 February 2006

  • Softcover ISBN: 978-3-642-06803-4Published: 14 October 2010

  • eBook ISBN: 978-3-540-30788-4Published: 03 April 2007

  • Edition Number: 1

  • Number of Pages: XXXVII, 633

  • Topics: Probability Theory and Stochastic Processes, Systems Theory, Control

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
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