The present monograph on stochastic Komatu-Loewner evolutions
(SKLEs) provides the first systematic extension of the
Schramm-Loewner evolution (SLE) theory from a simply connected
planar domain to multiply connected domains by using the Brownian
motion with darning (BMD) that has arisen in a recent study of the
boundary theory of symmetric Markov processes.This volume is
presented in an accessible manner for the interested researchers
and graduate students. It also brings new insights into SLEs as
special cases of SKLEs. Mathematically, it can be viewed as a
powerful application of stochastic analysis via BMDs to complex
analysis.
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