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Probability Measures on Groups X

  • Book
  • © 1991

Overview

Editors:
  1. Herbert Heyer

    1. University of Tübingen, Tübingen, Germany

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Table of contents (35 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Homoclinic Points Cr-Created under Hypotheses by Probability Measures

    • Nobuo Aoki, Masatoshi Oka
    Pages 1-9

  3. An Approximate Martingale Convergence Theorem on Locally Compact Abelian Groups

    • Michael S. Bingham
    Pages 11-17

  4. Positive Definite Functions and the Lévy Continuity Theorem for Commutative Hypergroups

    • Walter R. Bloom, Herbert Heyer, Yan Wang
    Pages 19-38

  5. A Hunt-Stein Theorem for Amenable Semigroups

    • James V. Bondar
    Pages 39-43

  6. Jacobi Polynomials and Related Hypergroup Structures

    • W. C. Connett, C. Markett, A. L. Schwartz
    Pages 45-81

  7. Discrete Time Voter Models: A Class of Stochastic Automata

    • R. W. R. Darling, Arunava Mukherjea
    Pages 83-94

  8. Theoretical and Distributional Aspects of Shape Analysis

    • I. L. Dryden, K. V. Mardia
    Pages 95-116

  9. Speed of Convergence of Transformed Convolution Powers of a Probability Measure on a Compact Connected Group

    • Peter Eisele
    Pages 117-127

  10. Krawtchouk Polynomials and Finite Probability Theory

    • P. Feinsilver, R. Schott
    Pages 129-135

  11. On Some Multidimensional Integral Transforms and Their Connection with the Theory of Hypergroups / Sur Quelques Transformations Integrales Multidimensionnelles et leur Lien Avec la Theorie des Hypergroupes

    • Léonard Gallardo
    Pages 137-144

  12. The Transience Criterion for Semigroups of Probability Measures on a Class of Commutative Hypergroups / Critère de Transience D’un Semi Groupe de Probabilitès sur une Classe D’hypergroupes Commutatifs

    • Marc Olivier Gebuhrer
    Pages 145-154

  13. Applications of Symmetry Groups in Markov Processes

    • Joseph Glover
    Pages 155-168

  14. Classes of Trimeasures: Applications of Harmonic Analysis

    • Colin C. Graham, Kari Ylinen
    Pages 169-176

  15. A Study of Some Stationary Gaussian Processes Indexed by the Homogeneous Tree

    • Claudie Hassenforder
    Pages 177-188

  16. Semistability and Domains of Attraction on Compact Extensions of Nilpotent Groups

    • W. Hazod
    Pages 189-204

  17. Poisson Boundaries of Random Walks on Discrete Solvable Groups

    • Vadim A. Kaimanovich
    Pages 205-238

  18. The Domain of Normal Attraction of a Stable Probability Measure on a Nilpotent Group

    • Yu. S. Khokhlov
    Pages 239-247

  19. Positive Convolution Structures Associated with Quantum Groups

    • Tom H. Koornwinder
    Pages 249-268

  20. Regularity and Singularity of Weakly Stationary Processes Indexed by a Commutative Hypergroup

    • Martin Leitner
    Pages 269-278
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Keywords

About this book

The present volume contains the transactions of the lOth Oberwolfach Conference on "Probability Measures on Groups". The series of these meetings inaugurated in 1970 by L. Schmetterer and the editor is devoted to an intensive exchange of ideas on a subject which developed from the relations between various topics of mathematics: measure theory, probability theory, group theory, harmonic analysis, special functions, partial differential operators, quantum stochastics, just to name the most significant ones. Over the years the fruitful interplay broadened in various directions: new group-related structures such as convolution algebras, generalized translation spaces, hypercomplex systems, and hypergroups arose from generalizations as well as from applications, and a gradual refinement of the combinatorial, Banach-algebraic and Fourier analytic methods led to more precise insights into the theory. In a period of highest specialization in scientific thought the separated minds should be reunited by actively emphasizing similarities, analogies and coincidences between ideas in their fields of research. Although there is no real separation between one field and another - David Hilbert denied even the existence of any difference between pure and applied mathematics - bridges between probability theory on one side and algebra, topology and geometry on the other side remain absolutely necessary. They provide a favorable ground for the communication between apparently disjoint research groups and motivate the framework of what is nowadays called "Structural probability theory".

Editors and Affiliations

  • University of Tübingen, Tübingen, Germany

    Herbert Heyer

Bibliographic Information

  • Book Title: Probability Measures on Groups X

  • Editors: Herbert Heyer

  • DOI: https://doi.org/10.1007/978-1-4899-2364-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1991

  • Hardcover ISBN: 978-0-306-44059-5Published: 29 February 1992

  • Softcover ISBN: 978-1-4899-2366-0Published: 22 July 2013

  • eBook ISBN: 978-1-4899-2364-6Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: IX, 498

  • Topics: Topological Groups, Lie Groups, Measure and Integration, Group Theory and Generalizations

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