Tina Torkaman

activity

20232026

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.GT2024

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.

math.GT2023

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.…