Atypical generic directions in Teichmüller space

Motivated by geometrically capturing generic directions in Teichmüller 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 Teichmüller geodesic rays with minimal non-uniquely ergodic vertical foliations.