3 papers
math.CV2025
Function theory, Dynamics and Ergodic theory via Thurston theory
Hideki Miyachi
In this paper, we discuss function theory on Teichmüller space through Thurston's theory, as well as the dynamics of subgroups of the mapping class group of a surface, with refere…
math.CV2025
Bounded Pluriharmonic Functions and Holomorphic Functions on Teichmüller Space II -- Poisson integral formula --
Hideki Miyachi
In this paper, we establish the Poisson integral formula for bounded pluriharmonic functions on the Teichmüller space of analytically finite Riemann surfaces of type with…
math.GR2025
Benoist-Hulin groups
Hideki Miyachi, Yannian Zhao
A Benoist-Hulin group is, by definition, a subgroup of such that any -invariant closed set consisting of Jordan curves in the space of closed sub…