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math.GT2020
Large-scale geometry of the saddle connection graph
Valentina Disarlo, Huiping Pan, Anja Randecker +1
We prove that the saddle connection graph associated to any half-translation surface is 4-hyperbolic and uniformly quasi-isometric to the regular countably infinite-valent tree. Co…
math.GT2018
Expected covering radius of a translation surface
Howard Masur, Kasra Rafi, Anja Randecker
A translation structure equips a Riemann surface with a singular flat metric. Not much is known about the shape of a random translation surface. We compute an upper bound on the ex…