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math.GT2020★ 1 cited
Geometric filling curves on punctured surfaces
Nhat Minh Doan
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 leng…
math.GT2020
Measuring pants
Nhat Minh Doan, Hugo Parlier, Ser Peow Tan
We investigate the terms arising in an identity for hyperbolic surfaces proved by Luo and Tan, namely showing that they vary monotonically in terms of lengths and that they verify…