Atypical generic directions in Teichm\"uller space

Abstract

Motivated by geometrically capturing generic directions in Teichm\"uller space -- that is, tracking rays for random walks of the mapping class group -- we use work of Chaika--Masur--Wolf and Durham--Zalloum to construct the first examples of a sublinearly-Morse Teichm\"uller geodesic rays with minimal non-uniquely ergodic vertical foliations.

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