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Probability Towards 2000

  • Book
  • © 1998

Overview

Editors:
  1. L. Accardi

    1. Centro Vito Volterra, Universita degli Studi di Roma Tor Vergata, Roma, Italy

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  2. C. C. Heyde

    1. Department of Statistics, Columbia University, New York, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Statistics (LNS, volume 128)

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About this book

Senior probabilists from around the world with widely differing specialities gave their visions of the state of their specialty, why they think it is important, and how they think it will develop in the new millenium. The volume includes papers given at a symposium at Columbia University in 1995, but papers from others not at the meeting were added to broaden the coverage of areas. All papers were refereed.

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Non-Linear Extensions of Classical and Quantum Stochastic Calculus and Essentially Infinite Dimensional Analysis

    • Luigi Accardi, Yun-Gang Lu, Igor Volovich
    Pages 1-33

  3. Trends and Open Problems in the Theory of Random Dynamical Systems

    • Ludwig Arnold
    Pages 34-46

  4. Probability and Statistics: Self-Decomposability, Finance and Turbulence

    • Ole E. Barndorff-Nielsen
    Pages 47-57

  5. Some Thoughts on Extreme Values

    • J. Beirlant, J. L. Teugels, P. Vynckier
    Pages 58-73

  6. Stochastic Positive Flows and Quantum Filtering Equations

    • V. P. Belavkin
    Pages 74-96

  7. Stein’s Method: Some Perspectives with Applications

    • Louis H. Y. Chen
    Pages 97-122

  8. Trilogy of Couplings and General Formulas for Lower Bound of Spectral Gap

    • Mu-Fa Chen
    Pages 123-136

  9. Stochasticity and Chaos

    • P. Collet
    Pages 137-150

  10. Decoupling Inequalities: A Second Generation of Martingale Inequalities

    • Victor H. De La Peña
    Pages 151-164

  11. Stochastic Differential Equations on Manifolds

    • K. D. Elworthy
    Pages 165-178

  12. Extending Flows of Classical Markov Processes to Quantum flows in Fock Space

    • F. Fagnola
    Pages 179-193

  13. Quantum Stochastic Analysis After Four Decades

    • R. L. Hudson
    Pages 194-217

  14. Perfect Simulation for the Area-Interaction Point Process

    • Wilfrid S. Kendall
    Pages 218-234

  15. Quantum Probability Seen by a Classical Probabilist

    • P. A. Meyer
    Pages 235-248

  16. Stochastic Anticipating Calculus

    • David Nualart
    Pages 249-262

  17. Foundation of Entropy, Complexity and Fractals in Quantum Systems

    • Masanori Ohya
    Pages 263-286

  18. Dirichlet Forms on Infinite-Dimensional ‘Manifold-Like’ State Spaces: A Survey of Recent Results and Some Prospects for the Future

    • Michael Röckner
    Pages 287-306

  19. Quantum Stochastic Calculus and Applications — A Review

    • Kalyan B. Sinha
    Pages 307-318

  20. Coupling

    • Hermann Thorisson
    Pages 319-339
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Editors and Affiliations

  • Centro Vito Volterra, Universita degli Studi di Roma Tor Vergata, Roma, Italy

    L. Accardi

  • Department of Statistics, Columbia University, New York, USA

    C. C. Heyde

Bibliographic Information

  • Book Title: Probability Towards 2000

  • Editors: L. Accardi, C. C. Heyde

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-2224-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1998

  • Softcover ISBN: 978-0-387-98458-2Published: 27 March 1998

  • eBook ISBN: 978-1-4612-2224-8Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: XI, 356

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Probability Theory and Stochastic Processes, Statistics, general

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