Entropy of ergodic geodesic currents on compact hyperbolic surfaces is bounded above by a function of self-intersection number and systole.
Universal length bounds for non-simple closed geodesics on hyperbolic surfaces.Journal of Topology6(2013), 513–524
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Entropy and self-intersection number of geodesic currents on compact hyperbolic surfaces
Entropy of ergodic geodesic currents on compact hyperbolic surfaces is bounded above by a function of self-intersection number and systole.