Geometric filling curves on punctured surfaces
Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 383-400
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This paper is about a type of quantitative density of closed geodesics and orthogeodesics on complete finite-area hyperbolic surfaces. The main results are upper bounds on the length of the shortest closed geodesic and the shortest doubly truncated orthogeodesic that are $\varepsilon$-dense on a given compact set on the surface.
Mots-clés :
hyperbolic surfaces, closed geodesics, geometric fillingcurves
Doan, Nhat Minh. Geometric filling curves on punctured surfaces. Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 383-400. doi: 10.1017/S0017089522000404
@article{10_1017_S0017089522000404,
author = {Doan, Nhat Minh},
title = {Geometric filling curves on punctured surfaces},
journal = {Glasgow mathematical journal},
pages = {383--400},
year = {2023},
volume = {65},
number = {2},
doi = {10.1017/S0017089522000404},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000404/}
}
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