Stochastic Komatu–Loewner Evolutions

Zhen Qing Chen; Masatoshi Fukushima; Takuya Murayama

doi:10.1142/13038

Stochastic Komatu–Loewner Evolutions

Zhen Qing Chen, Masatoshi Fukushima, Takuya Murayama

Research output: Book/Report › Book › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Publisher	World Scientific Publishing Co.
Number of pages	238
ISBN (Electronic)	9789811262791
ISBN (Print)	9789811262784
DOIs	https://doi.org/10.1142/13038
Publication status	Published - 1 Jan 2023
Externally published	Yes

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Chen, Z. Q., Fukushima, M., & Murayama, T. (2023). Stochastic Komatu–Loewner Evolutions. World Scientific Publishing Co. https://doi.org/10.1142/13038

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Stochastic Komatu–Loewner Evolutions

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