Critical exponent for geodesic currents
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.
- Pub Date:
- April 2017
- Mathematics - Metric Geometry;
- Mathematics - Differential Geometry