Takuya Murayama

activity

20182023

most citedChordal Komatu-Loewner equation for a family of continuously growing hulls

4 citations · 8 across the 7 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CV2019★ 2 cited

Univalence and holomorphic extension of the solution to $ω$ -controlled Loewner-Kufarev equations

Takafumi Amaba, Roland Friedrich, Takuya Murayama

We prove that a solution to the $ω$ -controlled Loewner-Kufarev equation, which was introduced by the first two authors, exists uniquely, is univalent and starlike on the unit disk…

math.PR2019

Reformulation of Laplacian- $b$ motion in terms of stochastic Komatu-Loewner evolution in the chordal case

Takuya Murayama

We investigate the relation between the Laplacian- $b$ motion and stochastic Komatu-Loewner evolution (SKLE) on multiply connected subdomains of the upper half-plane, both of which…

math.PR2019★ 2 cited

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…

Univalence and holomorphic extension of the solution to ω-controlled Loewner-Kufarev equations

Reformulation of Laplacian-b motion in terms of stochastic Komatu-Loewner evolution in the chordal case

On the slit motion obeying chordal Komatu-Loewner equation with finite explosion time

Univalence and holomorphic extension of the solution to $ω$ -controlled Loewner-Kufarev equations

Reformulation of Laplacian- $b$ motion in terms of stochastic Komatu-Loewner evolution in the chordal case