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math.GT2024
Lengths of saddle connections on random translation surfaces of large genus
Howard Masur, Kasra Rafi, Anja Randecker
We determine the distribution of the number of saddle connections on a random translation surface of large genus. More specifically, for genus tending to infinity, the number o…
math.GT2024
Classification of Stable Surfaces with respect to Automatic Continuity
Mladen Bestvina, George Domat, Kasra Rafi
We provide a complete classification of when the homeomorphism group of a stable surface, , has the automatic continuity property: Any homomorphism from Homeo to a separabl…