1 citations · 3 across the 5 of their papers we have counts for
5 papers
Shape of filling-systole subspace in surface moduli space and critical points of systole function
Yue Gao
This paper studies the space consisting of surfaces with filling systoles and its subset, critical points of the systole function. In the first part, we…
An upperbound for the number of critical points of the systole function on the surface moduli space
Yue Gao
We obtain an upper bound for the number of critical points of the systole function on . Besides, we obtain an upper bound for the number of those critical points who…
Private Approximations of a Convex Hull in Low Dimensions
Yue Gao, Or Sheffet
We give the first differentially private algorithms that estimate a variety of geometric features of points in the Euclidean space, such as diameter, width, volume of convex hull,…
Maximal systole of hyperbolic surface with largest extendable abelian symmetry
Yue Gao, Jiajun Wang
We give the formula for the maximal systole of the surface admits the largest -extendable abelian group symmetry. The result we get is . Here \begin{eqnar…
Systoles of hyperbolic surfaces with big cyclic symmetry
Sheng Bai, Yue Gao, Shicheng Wang
We obtain the exact values of the systoles of these hyperbolic surfaces of genus with cyclic symmetries of the maximum order and the next maximum order. Precisely: for genus $g…