1 citations · 1 across the 8 of their papers we have counts for
9 papers
Stable-norm boundary geometry on once-punctured tori
Nhat Minh Doan, Xiaobin Li, Van Nguyen
We use normal-turn estimates to study the local and global geometry of the boundaries of stable-norm balls for complete finite-area hyperbolic once-punctured tori . We sho…
Graded Bridgeman dilogarithm identities on hyperbolic surfaces
Ara Basmajian, Nhat Minh Doan, Hugo Parlier +1
We establish graded versions of Bridgeman's dilogarithm identity for hyperbolic cone surfaces, including surfaces with only cusps and cone points, and provide applications to the s…
Optimal Farey sequence for the Congruence subgroup
Nhat Minh Doan, Sang-hyun Kim, Mong Lung Lang +1
We prove that () has a Farey sequence such that for all . The above upper bound is optimal, and there exists a unique such th…
Some arithmetic aspects of ortho-integral surfaces
Nhat Minh Doan, Khanh Le
We investigate ortho-integral (OI) hyperbolic surfaces with totally geodesic boundaries, defined by the property that every orthogeodesic (i.e. a geodesic arc meeting the boundary…
Self-intersections of arcs on a pair of pants
Nhat Minh Doan, Hanh Vo
We investigate arcs on a pair of pants and present an algorithm to compute the self-intersection number of an arc. Additionally, we establish bounds for the self-intersection numbe…
Optimal independent generating system for the congruence subgroups and
Nhat Minh Doan, Sang-hyun Kim, Mong Lung Lang +1
Let be a prime or its square. We prove that the congruence subgroup admits a free product decomposition into cyclic factors in such a way that the -component of…
Ortho-integral surfaces
Nhat Minh Doan
This paper introduces a combinatorial structure of orthogeodesics on hyperbolic surfaces and presents several relations among them. As a primary application, we propose a recursive…
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…
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…