Rigidity in Dynamics and Geometry
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
By: edited by Marc Burger, Alessandra Iozzi
Contributors: Iozzi, Alessandra
Publisher: Springer Berlin Heidelberg
Published: 2002
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 492
ISBN-13: 9783642077517; 9783662047439
Subjects: Geometry; Mathematics; Differentiable dynamical systems; Number theory
Description: 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 Teichmüller 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 The volume contains surveys and original unpublished results as well, and is an invaluable source also for the experienced researcher.
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Table of contents: title: From the contents: M. Bourdon, H. Pajot: Quasi-Conformal Geometry and Hyperbolic Geometry; title: M. Burger, N. Monod: On and Around the Bounded Cohomology of SL2; title: J.-P. Conze, Y. Guivarc'h: Densité d'orbites d'actions de groupes linéaires et propriétés d'équidistribution de marches aléatoires; title: M. Dodson: Exceptional Sets in Dynamical Systems and Diophantine Approximation; title: R. Feres: An Introduction to Cocycle Super-Rigidity; title: D. Fisher: Rigid Geometric Structures and Representations of Fundamental Groups; title: A. Furman: Coarse-Geometric Perspective on Negatively Curved Manifolds and Groups; title: D. Gaboriau: On Orbit Equivalence of Measure Preserving Actions; title: W.M. Goldman: The Margulis Invariant of Isometric Actions on Minkowski (2+1)-Space; title: S. Hersonsky, F. Paulin: Diophantine Approximation in Negatively Curved Manifolds and in the Heisenberg Group; title: A. Iozzi: Bounded Cohomology, Boundary Maps, and Rigidity of Representations.