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math.MG2017
Critical exponent for geodesic currents
Olivier Glorieux
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…
math.DG2017
Convergence of quasi-Fuchsian groups using critical exponent
Olivier Glorieux
We prove that a sequence of quasi-Fuchsian representations for which the critical exponent converges to the topological dimension of the boundary of the group (larger than 2), conv…