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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.
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Subjects
Discrete groups, Ergodic theory| Edition | Availability |
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1
Ergodic Theory of Discrete Groups
2011, Cambridge University Press
in English
0511892446 9780511892448
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2
Ergodic Theory of Discrete Groups
2009, Cambridge University Press
in English
0511600674 9780511600678
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3
The ergodic theory of discrete groups
1989, Cambridge University Press
in English
0521376742 9780521376747
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4
Ergodic Theory of Discrete Groups
1989, Cambridge University Press
in English
129940426X 9781299404267
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Book Details
Edition Notes
Includes bibliographical references (p. 209-214).
Includes index.
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