4 citations · 8 across the 7 of their papers we have counts for
4 papers · 1 filter
Topology and convergence on the space of measure-valued functions
Takahiro Hasebe, Ikkei Hotta, Takuya Murayama
In these notes, uniform convergence on compacta is studied on the space of functions taking values in the set of finite Borel measures. Related limit theorems, including Lévy's con…
Reformulation of Laplacian- motion in terms of stochastic Komatu-Loewner evolution in the chordal case
Takuya Murayama
We investigate the relation between the Laplacian- motion and stochastic Komatu-Loewner evolution (SKLE) on multiply connected subdomains of the upper half-plane, both of which…
On the slit motion obeying chordal Komatu-Loewner equation with finite explosion time
Takuya Murayama
This paper studies the behavior of solutions near the explosion time to the chordal Komatu-Loewner equation for slits, motivated by the preceding studies by Bauer and Friedrich (20…
Chordal Komatu-Loewner equation for a family of continuously growing hulls
Takuya Murayama
In this paper, we discuss the chordal Komatu-Loewner equation on standard slit domains in a manner applicable not just to a simple curve but also a family of continuously growing h…