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math.CV2022
The Teichm{ü}ller-Randers metric
Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos
In this paper, we introduce a new asymmetric weak metric on the Teichm{ü}ller space of a closed orientable surface with (possibly empty) punctures.This new metric, which we call th…
math.CV2020
Estimates of the Bergman kernel on Teichmuller space
Guangming Hu, Hideki Miyachi
In this paper, a comparison between the Bergman kernel form and the pushforward measure of the Masur-Veech meaure on the Teichmuller space of genus is obtained.
math.CV2018
Pluripotential theory on Teichmüller space I -- Pluricomplex Green function
Hideki Miyachi
This is the first paper in a series of investigation of the pluripotential theory on Teichmüller space. The main purpose of this paper is to give an alternative approach to the Kru…