The Hausdorff Dimension of Non-Uniquely Ergodic directions in H(2) is almost everywhere 1/2
Athreya, Jayadev S. · Chaika, Jon
Original · EN
We show that for almost every (with respect to Masur-Veech measure) ω∈ H(2), the set of angles θ∈ [0, 2π) so that eⁱθω has non-uniquely ergodic vertical foliation has Hausdorff dimension (and codimension) 1/2.
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