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Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces

2000-05-11 Mathematics
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Release : 2000-05-11
Genre : Mathematics
Kind : eBook
Book Rating : 303/5 ( reviews)

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Book Synopsis Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces by : M. Bachir Bekka

Download or read book Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces written by M. Bachir Bekka. This book was released on 2000-05-11. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.

Geometric and Ergodic Aspects of Group Actions

2020-01-13 Mathematics
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Release : 2020-01-13
Genre : Mathematics
Kind : eBook
Book Rating : 833/5 ( reviews)

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Book Synopsis Geometric and Ergodic Aspects of Group Actions by : S. G. Dani

Download or read book Geometric and Ergodic Aspects of Group Actions written by S. G. Dani. This book was released on 2020-01-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ergodic Theory

2023-07-31 Mathematics
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Release : 2023-07-31
Genre : Mathematics
Kind : eBook
Book Rating : 885/5 ( reviews)

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Book Synopsis Ergodic Theory by : Cesar E. Silva

Download or read book Ergodic Theory written by Cesar E. Silva. This book was released on 2023-07-31. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic theorems, joinings, isomorphism theory, recurrence, nonsingular systems. It enlightens connections of ergodic theory with symbolic dynamics, topological dynamics, smooth dynamics, combinatorics, number theory, pressure and equilibrium states, fractal geometry, chaos. In addition, the new edition includes dynamical systems of probabilistic origin, ergodic aspects of Sarnak's conjecture, translation flows on translation surfaces, complexity and classification of measurable systems, operator approach to asymptotic properties, interplay with operator algebras

Ergodic Theory and Topological Dynamics

1976-11-15 Mathematics
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Release : 1976-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 863/5 ( reviews)

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Book Synopsis Ergodic Theory and Topological Dynamics by :

Download or read book Ergodic Theory and Topological Dynamics written by . This book was released on 1976-11-15. Available in PDF, EPUB and Kindle. Book excerpt: Ergodic Theory and Topological Dynamics

Group Actions in Ergodic Theory, Geometry, and Topology

2019-12-23 Mathematics
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Release : 2019-12-23
Genre : Mathematics
Kind : eBook
Book Rating : 27X/5 ( reviews)

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Book Synopsis Group Actions in Ergodic Theory, Geometry, and Topology by : Robert J. Zimmer

Download or read book Group Actions in Ergodic Theory, Geometry, and Topology written by Robert J. Zimmer. This book was released on 2019-12-23. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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