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math.GT2019
Statistical hyperbolicity for harmonic measure
Aitor Azemar, Vaibhav Gadre, Luke Jeffreys
We consider harmonic measures that arise from random walks on the mapping class group determined by probability distributions that have finite first moment with respect to the Teic…
math.GT2019
Single-cylinder square-tiled surfaces and the ubiquity of ratio-optimising pseudo-Anosovs
Luke Jeffreys
In every connected component of every stratum of Abelian differentials, we construct square-tiled surfaces with one vertical and one horizontal cylinder. We show that for all but t…