Stochastic Komatu-loewner Evolutions

Stochastic Komatu-loewner Evolutions
by: Zhen-qing Chen(Author),Masatoshi Fukushima(Author),Takuya Murayama(Author)&0more
Publisher: World Scientific Publishing Co Pte Ltd
Publication Date: 13 Feb. 2023
Language: English
Print Length: 256 pages
ISBN-10: 9811262780
ISBN-13: 9789811262784
Book Description
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.

About the Author

About the Author Zhen-Qing Chen is a professor at the University of Washington, USA. He is an elected Fellow of the American Mathematical Society and of the Institute of Mathematical Statistics. He has co-authored with M Fukushima on the book Symmetric Markov Processes, Time Changes, and Boundary Theory. He serves on several editorial boards of mathematical research journals, including Potential Analysis as the Editor-in-Chief.Masatoshi Fukushima is a Professor Emeritus at the Osaka University, Japan. He is well known for his fundamental contributions in Dirichlet form theory. He is an author of three books on Dirichlet form theory. He received the 2003 Analysis Prize from the Mathematical Society of Japan, and the 2019 Itô Prize (together with Z-Q Chen) from the Bernoulli Society.Since April 2022, Takuya Murayama is Assistant Professor at Kyushu University, Japan.