Yuming Wei

collaborators

2 papers

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 $(X, I ¨ ) \in E_{D}$ , the set of no…

math.DS2025

Dichotomy for the Hausdorff dimension of nonergodic directions on translation surfaces

Yuming Wei

We study the ergodic properties of the translation surface $X_{I^», I^¼}$ formed by gluing two flat tori along a slit with holonomy $(I^», I^¼) \in R^{2}$ . Extending the dichotomy…