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Comparison theorems and orbit counting in hyperbolic geometry
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UNSPECIFIED (1998) Comparison theorems and orbit counting in hyperbolic geometry. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 350 (2). pp. 473-499. ISSN 0002-9947
Full text not available from this repository.Abstract
In this article we address an interesting problem in hyperbolic geometry. This is the problem of comparing different quantities associated to the fundamental group of a hyperbolic manifold (e.g. word length, displacement in the universal cover, etc.) asymptotically. Our method involves a mixture of ideas from both "thermodynamic" ergodic theory and the automaton associated to strongly Markov groups.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Publisher: | AMER MATHEMATICAL SOC |
| ISSN: | 0002-9947 |
| Date: | February 1998 |
| Volume: | 350 |
| Number: | 2 |
| Number of Pages: | 27 |
| Page Range: | pp. 473-499 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/15992 |
Data sourced from Thomson Reuters' Web of Knowledge
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