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The Geometry of Discrete Groups
Language: en
Pages: 350
Authors: Alan F. Beardon
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been st
The Ergodic Theory of Discrete Groups
Language: en
Pages: 237
Authors: Peter J. Nicholls
Categories: Mathematics
Type: BOOK - Published: 1989-08-17 - Publisher: Cambridge University Press

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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. The
Discrete Groups, Expanding Graphs and Invariant Measures
Language: en
Pages: 201
Authors: Alex Lubotzky
Categories: Mathematics
Type: BOOK - Published: 2010-02-17 - Publisher: Springer Science & Business Media

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In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques
Bounded Cohomology of Discrete Groups
Language: en
Pages: 213
Authors: Roberto Frigerio
Categories: Mathematics
Type: BOOK - Published: 2017-11-21 - Publisher: American Mathematical Soc.

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The theory of bounded cohomology, introduced by Gromov in the late 1980s, has had powerful applications in geometric group theory and the geometry and topology
Hyperbolic Manifolds and Discrete Groups
Language: en
Pages: 486
Authors: Michael Kapovich
Categories: Mathematics
Type: BOOK - Published: 2009-08-04 - Publisher: Springer Science & Business Media

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Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology,