Group Actions in Ergodic Theory Geometry and Topology

This book PDF is perfect for those who love Mathematics genre, written by Robert J. Zimmer and published by University of Chicago Press which was released on 23 December 2019 with total hardcover pages 724. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Group Actions in Ergodic Theory Geometry and Topology books below.

Group Actions in Ergodic Theory Geometry and Topology
Group Actions in Ergodic Theory Geometry and Topology
Author : Robert J. Zimmer
File Size : 43,6 Mb
Publisher : University of Chicago Press
Language : English
Release Date : 23 December 2019
ISBN : 9780226568270
Pages : 724 pages
Get Book

Group Actions in Ergodic Theory Geometry and Topology by Robert J. Zimmer Book PDF Summary

Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.

Group Actions in Ergodic Theory Geometry and Topology

Group Actions in Ergodic Theory Geometry and Topology by Robert J. Zimmer

Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the

Get Book
Ergodic Theory Groups and Geometry

Ergodic Theory Groups and Geometry by Robert J. Zimmer,Dave Witte Morris

This introduction to ergodic theory provides an overview of important methods, major developments and open problems in the subject. The lectures in the book include additional comments at the end of each chapter with references to recent developments. These updates can help lead the graduate student to cutting-edge results in

Get Book
Dynamics Ergodic Theory and Geometry

Dynamics Ergodic Theory and Geometry by Boris Hasselblatt

Based on the subjects from the Clay Mathematics Institute/Mathematical Sciences Research Institute Workshop titled 'Recent Progress in Dynamics' in September and October 2004, this volume contains surveys and research articles by leading experts in several areas of dynamical systems that have experienced substantial progress. One of the major surveys is

Get Book
Lectures on Ergodic Theory

Lectures on Ergodic Theory by Paul R. Halmos

This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. "The book is written in the pleasant, relaxed, and clear style usually associated with the author," noted the Bulletin of the

Get Book
Ergodic Theory Groups and Geometry

Ergodic Theory Groups and Geometry by Robert J. Zimmer,Dave Witte Morris

"The study of group actions on manifolds is the meeting ground of a variety of mathematical areas. In particular, interesting geometric insights can be obtained by applying measure-theoretic techniques. This book provides an introduction to some of the important methods, major developments, and open problems in the subject. It is

Get Book
The Ergodic Theory of Discrete Groups

The Ergodic Theory of Discrete Groups by Peter J. Nicholls

The interaction between ergodic theory and discrete groups has a long history and much work was done in this area by Hedlund, Hopf and Myrberg in the 1930s. There has been a great resurgence of interest in the field, due in large measure to the pioneering work of Dennis Sullivan.

Get Book
Ergodic Theory and Fractal Geometry

Ergodic Theory and Fractal Geometry by Hillel Furstenberg

Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that "straighten out" under magnification. Fractals, which take their name from the shape of fractured objects, can be characterized as retaining their lack of smoothness under magnification. The properties of fractals come to light under repeated

Get Book
Ergodic Theory and Semisimple Groups

Ergodic Theory and Semisimple Groups by R.J. Zimmer

This book is based on a course given at the University of Chicago in 1980-81. As with the course, the main motivation of this work is to present an accessible treatment, assuming minimal background, of the profound work of G. A. Margulis concerning rigidity, arithmeticity, and structure of lattices in

Get Book