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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.GT2019★ 2 cited
Coarse density of subsets of
Benjamin Dozier, Jenya Sapir
Let be the moduli space of genus Riemann surfaces. We show that an algebraic subvariety of is coarsely dense with respect to the Teichmüller met…