Abstract
In this survey we give a report on some recent results obtained in the studies of hyperbolic manifolds by means of fractal geometry. Emphasis has been put on results derived in the quantitative and qualitative fractal analysis of long term geodesic dynamics on hyperbolic manifolds.
| Original language | English |
|---|---|
| Pages (from-to) | 227-249 |
| Journal | Janos Bolyai Memorial Volume |
| Publication status | Published - 2006 |
Keywords
- conformal dynamics
- fractal geometry
- hyperbolic manifolds
- Kleinian groups
- ergodic theory
- FINITE KLEINIAN-GROUPS
- HAUSDORFF DIMENSION
- FUCHSIAN-GROUPS
- LIMIT-SETS
- POINCARE-SERIES
- DIOPHANTINE APPROXIMATION
- FUNDAMENTAL POLYHEDRA
- PARABOLIC ELEMENTS
- BOUNDED GEODESICS
- PATTERSON MEASURE