2 papers
math.GT2026
Siegel-Veech Measures of Convex Flat Cone Spheres
Kai Fu
A classical theorem of Siegel gives the average number of lattice points in bounded subsets of . Motivated by this result, Veech introduced an analogue for translatio…
math.GT2026
Uniform Length Estimates for Trajectories on Flat Cone Surfaces
Kai Fu
This paper studies length estimates for trajectories on flat cone surfaces in terms of their self-intersection numbers. For an area-one flat cone surface, we obtain a lower bound f…