Tina Torkaman

collaborators

3 papers

math.DS2026

Entropy and self-intersection number of geodesic currents on compact hyperbolic surfaces

Tina Torkaman

Let $X$ be a compact hyperbolic surface of genus $g$ , and $C$ a geodesic current on $X$ . Denote by $h_{X} (C)$ the measure-theoretic entropy of $C$ with respect to the geodesic flow.…

math.GT2025

Intersection Number, Length, and Systole on Compact Hyperbolic Surfaces

Tina Torkaman

The interaction strength I(X) of a compact hyperbolic surface X is the best upper bound for the intersection number of two closed geodesics divided by the product of their lengths.…

math.GT2025

Intersection Points of Closed Geodesics on Hyperbolic Surfaces of Finite Area

Tina Torkaman

Let X be a complete hyperbolic surface of finite area. We establish that the intersection points of closed geodesics with length <T are equidistributed on X as T goes to infinity.