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Stochastic Processes and Operator Calculus on Quantum Groups

  • Book
  • © 1999

Overview

Authors:
  1. Uwe Franz

    1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Greifswald, Germany

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  2. René Schott

    1. Institut Elie Cartan and Loria, Université Henri Poincaré-Nancy 1, Vandoeuvre-lès-Nancy, France

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Part of the book series: Mathematics and Its Applications (MAIA, volume 490)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-vii
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  2. Introduction

    • Uwe Franz, René Schott
    Pages 1-4

  3. Preliminaries on Lie groups

    • Uwe Franz, René Schott
    Pages 5-44

  4. Hopf algebras, quantum groups and braided spaces

    • Uwe Franz, René Schott
    Pages 45-92

  5. Stochastic processes on quantum groups

    • Uwe Franz, René Schott
    Pages 93-117

  6. Markov structure of quantum Lévy processes

    • Uwe Franz, René Schott
    Pages 119-138

  7. Diffusions on braided spaces

    • Uwe Franz, René Schott
    Pages 139-151

  8. Evolution equations and Lévy processes on quantum groups

    • Uwe Franz, René Schott
    Pages 153-159

  9. Gauss laws in the sense of Bernstein on quantum groups

    • Uwe Franz, René Schott
    Pages 161-181

  10. Phase retrieval for probability distributions on quantum groups and braided groups

    • Uwe Franz, René Schott
    Pages 183-188

  11. Limit theorems on quantum groups

    • Uwe Franz, René Schott
    Pages 189-213

  12. Back Matter

    Pages 215-231
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Keywords

Authors and Affiliations

  • Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Greifswald, Germany

    Uwe Franz

  • Institut Elie Cartan and Loria, Université Henri Poincaré-Nancy 1, Vandoeuvre-lès-Nancy, France

    René Schott

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