Ryo Matsuda

collaborators

4 papers

math.CV2026

An Orlicz variational formula for David-type Beltrami equations

Ryo Matsuda

Let $U ⋐ C$ be fixed, $Φ (s) = e^{s} - s - 1$ , $F (ν) = \frac{ν}{2 + ∣ ν ∣}$ , and let $f^{F (ν)}$ 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 $Mag (X)$ , 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 $Q (ψ^{- n} X, ψ^{n} X)$ associated with a pseudo-Anosov mapping class $ψ$ on a onc…

math.CV2022

Construction of geodesics on Teichmüller spaces of Riemann surfaces with $Z$ action

Ryo Matsuda

Teichmüller space $Teich (R)$ of a Riemann surface $R$ is a deformation space of $R$ . In this paper, we prove a sufficient condition for extremality of the Beltrami coeffic…

An Orlicz variational formula for David-type Beltrami equations

Magnitude of homogeneous Moran sets in the unit interval

On the Asymptotics of Convex Core Volumes of Once-Punctured Torus Groups

Construction of geodesics on Teichmüller spaces of Riemann surfaces with Z action

Construction of geodesics on Teichmüller spaces of Riemann surfaces with $Z$ action