1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DS2026
Uniform distribution of saddle connection lengths in all orbits
Donald Robertson, Benjamin Dozier
For every flat surface, almost every flat surface in its orbit has the following property: the sequence of its saddle connection lengths in non-decreasi…
math.GT2023
Counting geodesics on expander surfaces
Benjamin Dozier, Jenya Sapir
We study properties of typical closed geodesics on expander surfaces of high genus, i.e. closed hyperbolic surfaces with a uniform spectral gap of the Laplacian. Under an additiona…
math.CO2022★ 1 cited
Simple vs non-simple loops on random regular graphs
Benjamin Dozier, Jenya Sapir
In this note we solve the ``birthday problem'' for loops on random regular graphs. Namely, for fixed , we prove that on a random -regular graph with vertices, as …