3 papers
math.DS2026
Hausdorff dimension of non-uniquely ergodic directions in eigenform loci
Yuming Wei, Pengyu Yang
We consider the eigenform locus in where is not a square. We prove that for any translation surface , the set of non…
math.DS2025
Dichotomy for the Hausdorff dimension of nonergodic directions on translation surfaces
Yuming Wei
We study the ergodic properties of the translation surface formed by gluing two flat tori along a slit with holonomy . Extending the dichotomy res…
math.NT2023
On connectedness in the parametric geometry of numbers
Yuming Wei, Han Zhang
Via multilinear algebra, we formulate a criterion for connectedness in the parametric geometry of numbers in terms of pencils, which are certain algebraic varieties in the space of…