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Rigidity in Dynamics and Geometry

Contributions from the Programme Ergodic Theory, Geometric Rigidity and Number Theory, Isaac Newton Institute for the Mathematical Sciences Cambridge, United Kingdom, 5 January – 7 July 2000

  • Book
  • © 2002

Overview

Editors:
  1. Marc Burger

    1. Forschungsinstitut für Mathematik, ETH Zentrum, Zürich, Schweiz

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  2. Alessandra Iozzi

    1. Forschungsinstitut für Mathematik, ETH Zentrum, Zürich, Schweiz

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    You can also search for this editor in PubMed   Google Scholar

  • Presents the major recent developments in rigidity theory, geometric group theory, quasi-conformal geometry and related fields

  • Accessible to graduate students

  • Contributions have been carefully selected and refereed

  • Contains surveys and original unpublished papers

  • Indispensable for graduate students and researchers in this field

  • Includes supplementary material: sn.pub/extras

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Table of contents (26 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Quasi-Conformal Geometry and Hyperbolic Geometry

    • Marc Bourdon, Hervé Pajot
    Pages 1-17

  3. On and Around the Bounded Cohomology of SL2

    • Marc Burger, Nicolas Monod
    Pages 19-37

  4. Densité d’orbites d’actions de groupes linéaires et propriétés d’équidistribution de marches aléatoires

    • Jean-Pierre Conze, Yves Guivarc’h
    Pages 39-76

  5. Exceptional Sets in Dynamical Systems and Diophantine Approximation

    • Maurice Dodson
    Pages 77-98

  6. An Introduction to Cocycle Super-Rigidity

    • Renato Feres
    Pages 99-134

  7. Rigid Geometric Structures and Representations of Fundamental Groups

    • David Fisher
    Pages 135-147

  8. Coarse-Geometric Perspective on Negatively Curved Manifolds and Groups

    • Alex Furman
    Pages 149-166

  9. On Orbit Equivalence of Measure Preserving Actions

    • Damien Gaboriau
    Pages 167-186

  10. The Margulis Invariant of Isometric Actions on Minkowski (2+1)-Space

    • William M. Goldman
    Pages 187-201

  11. Diophantine Approximation in Negatively Curved Manifolds and in the Heisenberg Group

    • Sa’ar Hersonsky, Frédéric Paulin
    Pages 203-226

  12. Appendix: Diophantine Approximation on Hyperbolic Surfaces

    • Jouni Parkkonen, Frédéric Paulin
    Pages 227-236

  13. Bounded Cohomology, Boundary Maps, and Rigidity of Representations into Homeo+(S1) and SU(1, n)

    • Alessandra Iozzi
    Pages 237-260

  14. SAT Actions and Ergodic Properties of the Horosphere Foliation

    • Vadim A. Kaimanovich
    Pages 261-282

  15. Nonexpanding Maps, Busemann Functions, and Multiplicative Ergodic Theory

    • Anders Karlsson
    Pages 283-294

  16. The Phase Space of k-Surfaces

    • François Labourie
    Pages 295-307

  17. Schottky Subgroups of Mapping Class Groups and the Geometry of Surface-by-Free Groups

    • Lee Mosher
    Pages 309-319

  18. Actions of Semisimple Lie Groups with Stationary Measure

    • Amos Nevo, Robert J. Zimmer
    Pages 321-343

  19. On the Cohomology of Anosov Actions

    • Viorel Niţică, Andrei Török
    Pages 345-361

  20. Harmonic Analysis and Hecke Operators

    • Hee Oh
    Pages 363-378
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Keywords

About this book

This volume of proceedings is an offspring of the special semester Ergodic Theory, Geometric Rigidity and Number Theory which was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from Jan­ uary until July, 2000. Beside the activities during the semester, there were workshops held in January, March and July, the first being of introductory nature with five short courses delivered over a week. Although the quality of the workshops was excellent throughout the semester, the idea of these proceedings came about during the March workshop, which is hence more prominently represented, The format of the volume has undergone many changes, but what has remained untouched is the enthusiasm of the contributors since the onset of the project: suffice it to say that even though only two months elapsed between the time we contacted the potential authors and the deadline to submit the papers, the deadline was respected in the vast majority of the cases. The scope of the papers is not completely uniform throughout the volume, although there are some points in common. We asked the authors to write papers keeping in mind the idea that they should be accessible to students. At the same time, we wanted the papers not to be a summary of results that appeared somewhere else.

Editors and Affiliations

  • Forschungsinstitut für Mathematik, ETH Zentrum, Zürich, Schweiz

    Marc Burger, Alessandra Iozzi

Bibliographic Information

  • Book Title: Rigidity in Dynamics and Geometry

  • Book Subtitle: Contributions from the Programme Ergodic Theory, Geometric Rigidity and Number Theory, Isaac Newton Institute for the Mathematical Sciences Cambridge, United Kingdom, 5 January – 7 July 2000

  • Editors: Marc Burger, Alessandra Iozzi

  • DOI: https://doi.org/10.1007/978-3-662-04743-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Hardcover ISBN: 978-3-540-43243-2Published: 13 May 2002

  • Softcover ISBN: 978-3-642-07751-7Published: 22 September 2011

  • eBook ISBN: 978-3-662-04743-9Published: 09 March 2013

  • Edition Number: 1

  • Number of Pages: XIII, 492

  • Number of Illustrations: 8 b/w illustrations

  • Topics: Geometry, Differential Geometry, Dynamical Systems and Ergodic Theory, Number Theory

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