Critical exponent for geodesic currents

Abstract

For any geodesic current we associated a quasi-metric space. For a subclass of geodesic currents, called filling, it defines a metric and we study the critical exponent associated to this space. We show that is is equal to the exponential growth rate of the intersection function for closed curves.

References in corpus (1)

• Counting closed geodesics in globally hyperbolic maximal compact AdS 3-manifolds

Cited by in corpus (1)

• Currents, Systoles, and Compactifications of Character Varieties