Intersection Numbers of Geodesic Arcs

Yoe Alexander Herrera Jaramillo

For a compact surface $S$ with constant negative curvature $-\kappa$ (for some $\kappa >0$) and genus $g\ge 2$, we show that the tails of the distribution of $i(\alpha ,\beta )/l(\alpha )l(\beta )$ (where $i(\alpha ,\beta )$…