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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…
math.GT2018
Local maxima of the systole function
Maxime Fortier Bourque, Kasra Rafi
We construct infinite families of closed hyperbolic surfaces that are local maxima for the systole function on their respective moduli spaces. The systole takes values along a line…