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

  title={Chordal Komatu–Loewner equation for a family of continuously growing hulls},
  author={Takuya Murayama},
  journal={Stochastic Processes and their Applications},
  • 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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