arXiv:1704.06541 Abstract | arXiv Analytics

arXiv:1704.06541 [math.MG]Abstract References Reviews Resources

Critical exponent for geodesic currents

Published 2017-04-21Version 1

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.

Categories: math.MG, math.DG

Keywords: geodesic current, critical exponent, exponential growth rate, quasi-metric space, intersection function

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