Critical exponent for geodesic currents

Published 21 Apr 2017 in math.MG and math.DG | (1704.06541v1)

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.

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Authors (1)

Olivier Glorieux

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