TY - JOUR
T1 - Counting curves in hyperbolic surfaces
AU - Erlandsson, Viveka
AU - Souto, Juan
PY - 2016/7/18
Y1 - 2016/7/18
N2 - Abstract. LetΣbeahyperbolic surface.Westudythe setofcurveson Σofagiven 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.
AB - Abstract. LetΣbeahyperbolic surface.Westudythe setofcurveson Σofagiven 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.
U2 - 10.1007/s00039-016-0374-7
DO - 10.1007/s00039-016-0374-7
M3 - Article (Academic Journal)
SN - 1016-443X
VL - 26
SP - 729
EP - 777
JO - Geometric and Functional Analysis
JF - Geometric and Functional Analysis
ER -