Critical exponent for geodesic currents
Metric Geometry
2017-04-24 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1704.06541,
title = {Critical exponent for geodesic currents},
author = {Olivier Glorieux},
journal= {arXiv preprint arXiv:1704.06541},
year = {2017}
}