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math.CV2026
An Orlicz variational formula for David-type Beltrami equations
Ryo Matsuda
Let be fixed, , , and let denote the principal solution of the corresponding Beltrami equation. The id…
math.MG2026
Magnitude of homogeneous Moran sets in the unit interval
Ryo Matsuda, Tomoshige Yukita
Magnitude, denoted by , is a real-valued invariant of compact metric spaces whose large-scale growth reflects their geometry. Willerton showed that, for a co…
math.GT2026
On the Asymptotics of Convex Core Volumes of Once-Punctured Torus Groups
Hidetoshi Masai, Ryo Matsuda
We study the asymptotic behavior of the convex core volume for a sequence of quasi-Fuchsian manifolds associated with a pseudo-Anosov mapping class on a onc…