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- W2131567208 abstract "We prove topological transitivity for the Weil–Petersson geodesic flow for real two-dimensional moduli spaces of hyperbolic structures. Our proof follows a new approach that combines the density of singular unit tangent vectors, the geometry of cusps and convexity properties of negative curvature. We also show that the Weil–Petersson geodesic flow has: horseshoes, invariant sets with positive topological entropy, and that there are infinitely many hyperbolic closed geodesics, whose number grows exponentially in length. Furthermore, we note that the volume entropy is infinite." @default.
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- W2131567208 date "2010-03-01" @default.
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- W2131567208 title "Topological dynamics of the Weil–Petersson geodesic flow" @default.
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- W2131567208 doi "https://doi.org/10.1016/j.aim.2009.09.011" @default.
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