Yuming Wei

activity

20232026

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math.DS2026

Hausdorff dimension of nonergodic directions in higher genus via effective equidistribution

Yuming Wei

For each fixed $g \geq 3$ , we prove that non-uniquely ergodic directions have Hausdorff dimension $1/2$ on almost every area-one surface in $H^{odd} (g - 1, g - 1)$ when $…

math.DS2026

Hausdorff dimension of non-uniquely ergodic directions in eigenform loci

Yuming Wei, Pengyu Yang

We consider the eigenform locus $E_{D}$ in $H (1, 1)$ where $D$ is not a square. We prove that for any translation surface $(X, ω) \in E_{D}$ , the set of non…