Description

Book Synopsis
Refers to unitary groups of Hilbert spaces, the infinite symmetric group, groups of homeomorphisms of manifolds, and groups of transformations of measure spaces. This book presents an approach to the study of such groups based on ideas from geometric functional analysis and from exploring the interplay between dynamical properties of those groups.

Table of Contents
Introduction The Ramsey-Dvoretzky-Milman phenomenon The fixed point on compacta property The concentration property Levy groups Urysohn metric space and its group of isometries Minimal flows Further aspects of concentration Oscillation stability and distortion Bibliography Index.

Dynamics of Infinitedimensional Groups

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of Dynamics of Infinitedimensional Groups by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 12/30/2006 12:00:00 AM
      ISBN13: 9780821841372, 978-0821841372
      ISBN10: 0821841378

      Description

      Book Synopsis
      Refers to unitary groups of Hilbert spaces, the infinite symmetric group, groups of homeomorphisms of manifolds, and groups of transformations of measure spaces. This book presents an approach to the study of such groups based on ideas from geometric functional analysis and from exploring the interplay between dynamical properties of those groups.

      Table of Contents
      Introduction The Ramsey-Dvoretzky-Milman phenomenon The fixed point on compacta property The concentration property Levy groups Urysohn metric space and its group of isometries Minimal flows Further aspects of concentration Oscillation stability and distortion Bibliography Index.

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