Stochastic Komatu-loewner Evolutions

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.

Product details

• Authors: Zhen-qing Chen, Masatoshi Fukushima, Fukushima Masatoshi, Masatoshi Fukushima, Takuya Murayama, Takuya Murayama, Zhen-Qing Chen, Masatoshi Fukushima Tak Zhen-Qing Chen
• Publisher: Ingram Publishers Services
• Languages: English
• Product format: Hardback
• Released: 01.02.2023
• EAN: 9789811262784
• ISBN: 978-981-1262-78-4
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Differential Equations / Ordinary, Probability & statistics, Stochastics, Probability and statistics