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.
Geometric and Ergodic Aspects of Group Actions: Higher-Order Correlations for Group Actions
Geometric and Ergodic Aspects of Group Actions: Higher-Order Correlations for 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: Higher-Order Correlations for Group Actions write by S. G. Dani. This book was released on 2019. Geometric and Ergodic Aspects of Group Actions: Higher-Order Correlations for 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.
Dynamics, Ergodic Theory and Geometry
Dynamics, Ergodic Theory 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 Dynamics, Ergodic Theory and Geometry write by Boris Hasselblatt. This book was released on 2007-09-24. Dynamics, Ergodic Theory and Geometry available in PDF, EPUB and Kindle. 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 on symplectic geometry, which is closely related to classical mechanics and an exciting addition to modern geometry. The survey on local rigidity of group actions gives a broad and up-to-date account of another flourishing subject. Other papers cover hyperbolic, parabolic, and symbolic dynamics as well as ergodic theory. Students and researchers in dynamical systems, geometry, and related areas will find this book fascinating. The book also includes a fifty-page commented problem list that takes the reader beyond the areas covered by the surveys, to inspire and guide further research.
Group Actions in Ergodic Theory, Geometry, and Topology
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.
