Author: Chengbo YuePublisher:
ISBN:
Category :
Languages : en
Pages : 46
Book Description
The Ergodic Theory of Discrete Isometry Groups on Manifolds of Variable Negative Curvature
Author: Chengbo YueThe Ergodic Theory of Discrete Isometry Groups on Manifolds of Variable Negative Curvature
Author: Mathematical Sciences Research Institute (Berkeley, Calif.).Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
The Ergodic Theory of Discrete Groups
Author: Peter J. NichollsPublisher: Cambridge University Press
ISBN: 0521376742
Category : Mathematics
Languages : en
Pages : 237
Book Description
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. Tools have been developed and applied with outstanding success to many deep problems. The ergodic theory of discrete groups has become a substantial field of mathematical research in its own right, and it is the aim of this book to provide a rigorous introduction from first principles to some of the major aspects of the theory. The particular focus of the book is on the remarkable measure supported on the limit set of a discrete group that was first developed by S. J. Patterson for Fuchsian groups, and later extended and refined by Sullivan.
Hyperbolic Dynamics and Brownian Motion
Author: Jacques FranchiPublisher: Oxford Mathematical Monographs
ISBN: 0199654107
Category : Mathematics
Languages : en
Pages : 283
Book Description
A simple introduction to several important fields of modern mathematics. The exposition is based on an interplay between hyperbolic geometry, stochastic calculus, special relativity and chaotic dynamics. It is suitable for anyone with some solid background in linear algebra, calculus, and probability theory.
Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces
Author: M. Bachir BekkaPublisher: Cambridge University Press
ISBN: 9780521660303
Category : Mathematics
Languages : en
Pages : 214
Book Description
This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.
Geometry and Dynamics in Gromov Hyperbolic Metric Spaces
Author: Tushar DasPublisher: American Mathematical Soc.
ISBN: 1470434652
Category : Mathematics
Languages : en
Pages : 321
Book Description
This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number of examples of groups which exhibit a wide range of phenomena not to be found in the finite-dimensional theory. The book contains both introductory material to help beginners as well as new research results, and closes with a list of attractive unsolved problems.
Combinatorial and Geometric Group Theory
Author: Sean ClearyPublisher: American Mathematical Soc.
ISBN: 0821828223
Category : Mathematics
Languages : en
Pages : 290
Book Description
This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compactRiemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.
Geometric and Ergodic Aspects of Group Actions
Author: S. G. DaniPublisher: Springer Nature
ISBN: 9811506833
Category : Mathematics
Languages : en
Pages : 176
Book Description
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.
Encyclopaedia of Mathematics
Author: Michiel HazewinkelPublisher: Springer Science & Business Media
ISBN: 9401512884
Category : Mathematics
Languages : en
Pages : 595
Book Description
This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.
Complex Hyperbolic Geometry
Author: William Mark GoldmanPublisher: Oxford University Press
ISBN: 9780198537939
Category : Mathematics
Languages : en
Pages : 342
Book Description
This is the first comprehensive treatment of the geometry of complex hyperbolic space, a rich area of research with numerous connections to other branches of mathematics, including Riemannian geometry, complex analysis, symplectic and contact geometry, Lie groups, and harmonic analysis.