Stochastic Komatu-loewner Evolutions
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A01=Masatoshi Fukushima
A01=Takuya Murayama
A01=Zhen-qing Chen
Absorbed Brownian Motion (ABM)
Author_Masatoshi Fukushima
Author_Takuya Murayama
Author_Zhen-qing Chen
BMD Complex Poisson Kernel
BMD Domain Constant
Brownian Motion with Darning (BMD)
Canonical Map
Category=PBT
Category=PBWL
Continuously Growing Hulls
Domain Markov Property
Driving Function
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Half-Plane Capacity
Hulls
K-L Equation for Slit Motions
Komatu-Loewner Differential Equation
Komatu-Loewner Evolution (KLE)
KomatuAcAEURA"Loewner Differential Equation
KomatuAcAEURA"Loewner Evolution (KLE)
Komatu–Loewner Differential Equation
Komatu–Loewner Evolution (KLE)
Stochastic Komatu-Loewner Evolution (SKLE)
Stochastic KomatuAcAEURA"Loewner Evolution (SKLE)
Stochastic Komatu–Loewner Evolution (SKLE)
Product details
- ISBN 9789811262784
- Publication Date: 23 Feb 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
