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Stochastic Komatu-Loewner Evolutions
Hardcover
General MathematicsProbability & Statistics
ISBN13: 9789811262784
Publisher: World Scientific Publishing Company
Published: Jan 23 2023
Pages: 256
Weight: 1.34
Height: 0.63 Width: 6.69 Depth: 9.61
Language: English
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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