Extreme value theorem for geodesic flow on the quotient of the theta group

Jaelin Kim, Seul Bee Lee, Seonhee Lim

We establish an extreme value theorem for the geodesic flow on the hyperbolic surface $\hat{I}˜\backslash {\mathbb{H}}^2$ associated with the theta group $\hat{I}˜$. To capture excursions into bo…