Chordal Komatu–Loewner equation for a family of continuously growing hulls

@article{Murayama2019ChordalKE,
title={Chordal Komatu–Loewner equation for a family of continuously growing hulls},
author={Takuya Murayama},
journal={Stochastic Processes and their Applications},
year={2019}
}
• Takuya Murayama
• Published 1 March 2018
• Mathematics
• Stochastic Processes and their Applications
Abstract 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 hulls. Especially a conformally invariant characterization of the Komatu–Loewner evolution is obtained. As an application, we prove a sort of conformal invariance, or locality, of the stochastic Komatu–Loewner evolution SKLE 6 , − b BMD in a fully general setting, which solves an open problem posed by Chen et…
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