Overview

This volume is an offspring of the special semester ""Ergodic Theory, Geometric Rigidity and Number Theory"" held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from January until July, 2000. Some of the major recent developments in rigidity theory, geometric group theory, flows on homogeneous spaces and Teichmuller spaces, quasi-conformal geometry, negatively curved groups and spaces, Diophantine approximation, and bounded cohomology are presented here. The authors have given special consideration to making the papers accessible to graduate students, with most of the contributions starting at an introductory level and building up to presenting topics at the forefront in this active field of research. The volume contains surveys and original unpublished results as well, and is an invaluable source also for the experienced researcher.

Full Product Details

Author:   Marc Burger ,  Alessandra Iozzi ,  A. Iossi (both ETH, Zurich, Switzerland)
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2002 ed.
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   0.928kg
ISBN:  

9783540432432

ISBN 10:   3540432434
Pages:   492
Publication Date:   13 May 2002
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Quasi-Conformal Geometry and Hyperbolic Geometry.- On and Around the Bounded Cohomology of SL2.- Densité d’orbites d’actions de groupes linéaires et propriétés d’équidistribution de marches aléatoires.- Exceptional Sets in Dynamical Systems and Diophantine Approximation.- An Introduction to Cocycle Super-Rigidity.- Rigid Geometric Structures and Representations of Fundamental Groups.- Coarse-Geometric Perspective on Negatively Curved Manifolds and Groups.- On Orbit Equivalence of Measure Preserving Actions.- The Margulis Invariant of Isometric Actions on Minkowski (2+l)-Space.- Diophantine Approximation in Negatively Curved Manifolds and in the Heisenberg Group.- Appendix: Diophantine Approximation on Hyperbolic Surfaces.- Bounded Cohomology, Boundary Maps, and Rigidity of Representations into Homeo+(S1) and SU(1, n).- SAT Actions and Ergodic Properties of the Horosphere Foliation.- Nonexpanding Maps, Busemann Functions, and Multiplicative Ergodic Theory.- The Phase Space of k-Surfaces.- Schottky Subgroups of Mapping Class Groups and the Geometry of Surface-by-Free Groups.- Actions of Semisimple Lie Groups with Stationary Measure.- On the Cohomology of Anosov Actions.- Harmonic Analysis and Hecke Operators.- Lp-Cohomology and Pinching.- Classical and Non-Linearity Properties of Kac-Moody Lattices.- Actions of Maximal Tori on Homogeneous Spaces.- Dynamics on Parameter Spaces: Submanifold and Fractal Subset Questions.- Superrigid Subgroups and Syndetic Hulls in Solvable Lie Groups.- Square Tiled Surfaces and Teichmüller Volumes of the Moduli Spaces of Abelian Differentials.- On Property (T) for Discrete Groups.

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