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Tuesday, October 6, 2020 | History

8 edition of Ergodic theory and topological dynamics of group actions on homogeneous spaces found in the catalog.

Ergodic theory and topological dynamics of group actions on homogeneous spaces

by M. Bachir Bekka

  • 334 Want to read
  • 31 Currently reading

Published by Cambridge University Press in Cambridge, U.K, New York .
Written in English

    Subjects:
  • Ergodic theory.,
  • Topological dynamics.

  • Edition Notes

    Includes bibliographical references (p. [189]-197) and index.

    StatementM. Bachir Bekka, Matthias Mayer.
    SeriesLondon Mathematical Society lecture note series ;, 269
    ContributionsMayer, Matthias.
    Classifications
    LC ClassificationsQA611.5 .B42 2000
    The Physical Object
    Paginationx, 200 p. :
    Number of Pages200
    ID Numbers
    Open LibraryOL6899442M
    ISBN 100521660300
    LC Control Number00708882
    OCLC/WorldCa42790871

    The main aim of this seminar is to present some applications of homogeneous dynamics to counting problems in several settings. in the context of dynamics on homogeneous spaces. After setting up the basic language of ergodic theory of group actions and unitary representations of topological groups, we will discuss the general approach to.   Accordingly, the first part of the book treats the ergodic theory for an action of an arbitrary countable group. The second part, which deals with entropy theory, is confined (for the sake of simplicity) to the classical case of a single measure-preserving transformation on a Lebesgue probability space.

    This chapter presents an exposition of homogeneous dynamics—that is, the dynamical and ergodic properties of actions on the homogeneous spaces of Lie groups. Many concepts of the modern theory of dynamical systems appeared in connection with the study of the geodesic flow on a compact surface of constant negative by: Ergodic Theory On processes which cannot be distinguished by finite observation. With Michael Hochman. Israel Journal of Mathematics (), – PDF, Journal; A Juzvinskiĭ addition theorem for finitely generated free group actions. With Lewis Bowen. Ergodic Theory and Dynamical Systems 34 (), 95– arXiv Journal.

    M. B. Bekka and M. Mayer, Ergodic theory and topological dynamics of group actions on homogeneous spaces, London Mathematical Society Lecture Note Series , Cambridge University Press, Cambridge, M. L. Einsiedler et al. (editors), Homogeneous flows, moduli spaces and arithmetic, Clay Mathematics Proceedings, volume Request PDF | The Topological Dynamics of Semigroup Actions | In these notes we explore the fine structure of recurrence for semigroup actions, using the algebraic structure of compactifications.


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Ergodic theory and topological dynamics of group actions on homogeneous spaces by M. Bachir Bekka Download PDF EPUB FB2

: Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces (London Mathematical Society Lecture Note Series) (): Bekka, M. Cited by: Get this from a library. Ergodic theory and topological dynamics of group actions on homogeneous spaces.

[M Bachir Bekka; Matthias Mayer, (Mathematician)]. Get this from a library. Ergodic theory and topological dynamics of group actions on homogeneous spaces. [M Bachir Bekka; Matthias Mayer, (Mathematician)] -- The study of geodesic flows on homogenous spaces is an area of research that has yielded some fascinating developments.

This book, first published infocuses on many of these, and one of its. Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces - M. Bachir Bekka, Matthias Mayer, B. Bachir Bekka ().

Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces by M. Bachir Bekka,available at 3/5(1). topological dynamics Download topological dynamics or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get topological dynamics book now.

This site is like a library, Use search box in the widget to get ebook that you want. Ergodic Theory And Topological Dynamics. Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces 作者: Bekka, M. Bachir; Mayer, Matthias; 出版年: 页数: 定价: $ 丛书: London Mathematical Society Lecture Note Series.

'The book provides the student or researcher with an excellent reference and/or base from which to move into current research in ergodic theory. This book would make an excellent text for a graduate course on ergodic theory.' Douglas P. Dokken Source: Mathematical Reviews ' Viana and Oliveira have written yet another excellent textbook!Author: Marcelo Viana, Krerley Oliveira.

This book gathers papers on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds presented at the workshop "Geometric and Ergodic Aspects of Group Actions," organized by the Tata Institute of Fundamental Research, Mumbai, India, in Seller Rating: % positive.

© Cambridge University Press Cambridge University Press - Ergodic Theory and Topological Dynamics of Group Actions on. This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups.

It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment of the core concepts of weak mixing, compactness, entropy, and.

Ergodic theory and topological dynamics of group actions on homogeneous spaces. London Math. Soc. Lecture Note Series Cambridge: Cambridge University Press, p., prijs £30,– ISBN Author: K. Dajani. Bekka M, Mayer M () Ergodic theory and topological dynamics of group actions on homogeneous spaces.

Cambridge University Press, Cambridge zbMATH Google Scholar 5. This book focuses on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds.

The articles provide several topics at the interface of ergodic theory, the theory of homogeneous dynamics, and the geometry of. Questions tagged [ergodic-theory] reference-request dynamical-systems book-recommendation ergodic-theory.

asked Apr 5 at Sea watcher. 2 2 silver badges 7 7 On page 13 of Bekka and Mayer "Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces" the authors study measure preserving actions of a locally. Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces (London Mathematical Society Lecture Note Series) [Paperback] Bekka, M.

Bachir ISBN ISBN Download Book Lectures On Ergodic Theory in PDF format. You can Read Online Lectures On Ergodic Theory here in PDF, EPUB, Mobi or Docx formats Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces.

Author: M first published infocuses on developments in the study of geodesic flows on homogenous spaces. Ergodic theorems for actions of connected Lie groups and, particularly, equidistribution theorems on homogeneous spaces and moduli spaces, have been developed and used in a rapidly expanding array.

The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference principle.

[Furstenberg,] and [Glasner, ] present connections of topological dynamics to number theory and group theory, respectively. [Glasner, ] is an important recent book, which exhibits connections as well as analogies of. Dynamics of subgroup actions 3 Introduction This survey presents an exposition of homogeneous dynamics, that is, dynamical and ergodic properties of actions on homogeneous spaces of Lie groups.

Interest in this area rose significantly during late eighties and early nineties, after the seminal work of Margulis.Kleinbock D, Shah N, Starkov A () Dynamics of subgroup actions onhomogeneous spaces of Lie groups and applications to number theory.

In: Handbook on Dynamical Systems, vol 1A. Elsevier Science, North Holland,pp – Google Scholar.of recurrence. A major breakthrough in the history of ergodic theory was the Ergodic Theorem proved by Birkho in ([10]).

Recent work on measure-preserving actions of countable discrete groups can be found in a book by Kechris ([35]). Topological dynamics and ergodic theory have an intimate : Dana Bartosova.