5 citations · 5 across the 1 of their papers we have counts for
2 papers
math.GT2017
Local geometry of random geodesics on negatively curved surfaces
Jayadev S. Athreya, Steven P. Lalley, Jenya Sapir +1
It is shown that the tessellation of a compact, negatively curved surface induced by a typical long geodesic segment, when properly scaled, looks locally like a Poisson line proces…
math.DS2014★ 5 cited
The Eventual Gaussian Distribution for Self-Intersection Numbers on Closed Surfaces
Matthew Wroten
Oriented loops on an orientable surface are, up to equivalence by free homotopy, in one-to-one correspondence with the conjugacy classes of the surface's fundamental group. These c…