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math.PR2019
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…
math.PR2019
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…
math.PR2018
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…