Group Actions in Ergodic Theory, Geometry, and Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Group Actions in Ergodic Theory, Geometry, and Topology write by Robert J. Zimmer. This book was released on 2019-12-23. Group Actions in Ergodic Theory, Geometry, and Topology available in PDF, EPUB and Kindle. 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.
Geometric and Ergodic Aspects of Group Actions
Geometric and Ergodic Aspects of Group Actions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric and Ergodic Aspects of Group Actions write by S. G. Dani. This book was released on 2020-01-13. Geometric and Ergodic Aspects of Group Actions available in PDF, EPUB and Kindle. This book gathers papers on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds presented at the workshop “Geometric and Ergodic Aspects of Group Actions,” organized by the Tata Institute of Fundamental Research, Mumbai, India, in 2018. Written by eminent scientists, and providing clear, detailed accounts of various topics at the interface of ergodic theory, the theory of homogeneous dynamics, and the geometry of hyperbolic surfaces, the book is a valuable resource for researchers and advanced graduate students in mathematics.
Geometry, Rigidity, and Group Actions
Geometry, Rigidity, and Group Actions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry, Rigidity, and Group Actions write by Benson Farb. This book was released on 2011-04-15. Geometry, Rigidity, and Group Actions available in PDF, EPUB and Kindle. The study of group actions is more than a hundred years old but remains to this day a vibrant and widely studied topic in a variety of mathematic fields. A central development in the last fifty years is the phenomenon of rigidity, whereby one can classify actions of certain groups, such as lattices in semi-simple Lie groups. This provides a way to classify all possible symmetries of important spaces and all spaces admitting given symmetries. Paradigmatic results can be found in the seminal work of George Mostow, Gergory Margulis, and Robert J. Zimmer, among others. The papers in Geometry, Rigidity, and Group Actions explore the role of group actions and rigidity in several areas of mathematics, including ergodic theory, dynamics, geometry, topology, and the algebraic properties of representation varieties. In some cases, the dynamics of the possible group actions are the principal focus of inquiry. In other cases, the dynamics of group actions are a tool for proving theorems about algebra, geometry, or topology. This volume contains surveys of some of the main directions in the field, as well as research articles on topics of current interest.
Ergodic Theory, Groups, and Geometry
Ergodic Theory, Groups, and Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Ergodic Theory, Groups, and Geometry write by Robert J. Zimmer. This book was released on 2008-01-01. Ergodic Theory, Groups, and Geometry available in PDF, EPUB and Kindle. "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 slightly expanded from lectures given by Zimmer at the CBMS conference at the University of Minnesota. The main text presents a perspective on the field as it was at that time. Comments at the end of each chapter provide selected suggestions for further reading, including references to recent developments."--BOOK JACKET.
Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces
Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces write by M. Bachir Bekka. This book was released on 2000-05-11. Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces available in PDF, EPUB and Kindle. This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.
