Reference : Geometric filling curves on surfaces
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Physical, chemical, mathematical & earth Sciences : Mathematics
Geometric filling curves on surfaces
Basmajian, Ara [> >]
Parlier, Hugo mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
Souto, Juan [> >]
[en] Mathematics - Geometric Topology ; Mathematics - Differential Geometry
[en] This note is about a type of quantitative density of closed geodesics on closed hyperbolic surfaces. The main results are upper bounds on the length of the shortest closed geodesic that $\varepsilon$-fills the surface.
12 pages, 5 figures

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