3 papers
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…
math.GT2026
On the extremal length of the hyperbolic metric
Hidetoshi Masai
For any closed hyperbolic Riemann surface , we show that the extremal length of the Liouville current is determined solely by the topology of \(X\). This confirms a conjecture o…
math.GT2025
A horofunction counterpart to Teichmüller distance
Hidetoshi Masai
We generalize the horofunction compactification to maps that are not distance functions. As an application we define a horofunction counterpart to the Teichmüller distance, and di…