Counting curves in hyperbolic surfaces
Research output: Contribution to journal › Article › Scientific › peer-review
- Université de Rennes 1
Let Σ be a hyperbolic surface. We study the set of curves on Σ of a given type, i.e. in the mapping class group orbit of some fixed but otherwise arbitrary γ0. For example, in the particular case that Σ is a once-punctured torus, we prove that the cardinality of the set of curves of type γ0 and of at most length L is asymptotic to L2 times a constant.
|Number of pages||48|
|Journal||GEOMETRIC AND FUNCTIONAL ANALYSIS|
|Publication status||Published - 2016|
|MoE publication type||A1 Journal article-refereed|