No CrossRef data available.
Article contents
Multifractal analysis of homological growth rates for hyperbolic surfaces
Published online by Cambridge University Press: 18 September 2024
Abstract
We perform a multifractal analysis of homological growth rates of oriented geodesics on hyperbolic surfaces. Our main result provides a formula for the Hausdorff dimension of level sets of prescribed growth rates in terms of a generalized Poincaré exponent of the Fuchsian group. We employ symbolic dynamics developed by Bowen and Series, ergodic theory and thermodynamic formalism to prove the analyticity of the dimension spectrum.
- Type
- Original Article
- Information
- Copyright
- © The Author(s), 2024. Published by Cambridge University Press
Footnotes
Dedicated to Professor Masato Tsujii on the occasion of his 60th birthday