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Ergodic Theory And Topological Dynamics Of Group Actions On Homogeneous Spaces by M. Bachir Bekka

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1Ergodic theory and topological dynamics of group actions on homogeneous spaces

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“Ergodic theory and topological dynamics of group actions on homogeneous spaces” Metadata:

  • Title: ➤  Ergodic theory and topological dynamics of group actions on homogeneous spaces
  • Author:
  • Language: English
  • Number of Pages: Median: 200
  • Publisher: Cambridge University Press
  • Publish Date:
  • Publish Location: Cambridge, U.K - New York
  • Dewey Decimal Classification:
  • Library of Congress Classification: QA-0611.50000000.B42 2000ebQA-0611.50000000.B42 2000QA-0611.50000000.B45 2000

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  • First Year Published: 2000
  • Is Full Text Available: No
  • Is The Book Public: No
  • Access Status: Unclassified

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    1Ergodic theory and topological dynamics of group actions on homogeneous spaces

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    The study of geodesic flows on homogenous spaces is an area of research that has yielded some fascinating developments. This book, first published in 2000, focuses on many of these, and one of its highlights is an elementary and complete proof (due to Margulis and Dani) of Oppenheim's conjecture. Also included here: an exposition of Ratner's work on Raghunathan's conjectures; a complete proof of the Howe-Moore vanishing theorem for general semisimple Lie groups; a new treatment of Mautner's result on the geodesic flow of a Riemannian symmetric space; Mozes' result about mixing of all orders and the asymptotic distribution of lattice points in the hyperbolic plane; Ledrappier's example of a mixing action which is not a mixing of all orders. The treatment is as self-contained and elementary as possible. It should appeal to graduate students and researchers interested in dynamical systems, harmonic analysis, differential geometry, Lie theory and number theory.

    “Ergodic theory and topological dynamics of group actions on homogeneous spaces” Metadata:

    • Title: ➤  Ergodic theory and topological dynamics of group actions on homogeneous spaces
    • Authors:
    • Language: English
    • Publisher: Cambridge University Press
    • Publish Date:
    • Publish Location: England
    • Genres: bibliography
    • Dewey Decimal Classification: 515.42
    • Library of Congress Classification: QA611.5 .B45 2000

    “Ergodic theory and topological dynamics of group actions on homogeneous spaces” Subjects and Themes:

    Edition Specifications:

    • Number of Pages: x, 200 p. : ill. ; 23 cm.

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    2Ergodic Theory & Topological Dynamics of Group Actions on Homogeneous Spaces

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    The study of geodesic flows on homogenous spaces is an area of research that has yielded some fascinating developments. This book, first published in 2000, focuses on many of these, and one of its highlights is an elementary and complete proof (due to Margulis and Dani) of Oppenheim's conjecture. Also included here: an exposition of Ratner's work on Raghunathan's conjectures; a complete proof of the Howe-Moore vanishing theorem for general semisimple Lie groups; a new treatment of Mautner's result on the geodesic flow of a Riemannian symmetric space; Mozes' result about mixing of all orders and the asymptotic distribution of lattice points in the hyperbolic plane; Ledrappier's example of a mixing action which is not a mixing of all orders. The treatment is as self-contained and elementary as possible. It should appeal to graduate students and researchers interested in dynamical systems, harmonic analysis, differential geometry, Lie theory and number theory.

    “Ergodic Theory & Topological Dynamics of Group Actions on Homogeneous Spaces” Metadata:

    • Title: ➤  Ergodic Theory & Topological Dynamics of Group Actions on Homogeneous Spaces
    • Authors:
    • Language: English
    • Publish Date:
    • Publish Location: England - Cambridge
    • Genres: text
    • Dewey Decimal Classification: 515.42
    • Library of Congress Classification: QA611.5 .B42 2000

    “Ergodic Theory & Topological Dynamics of Group Actions on Homogeneous Spaces” Subjects and Themes:

    Edition Specifications:

    • Number of Pages: ➤  1 online resource (x, 200 pages) : digital, PDF file(s).

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