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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.DS2018
Renormalizing an infinite rational IET
W. Patrick Hooper, Kasra Rafi, Anja Randecker
We study an interval exchange transformation of [0,1] formed by cutting the interval at the points 1/n and reversing the order of the intervals. We find that the transformation is…