Stochastic Komatu-Loewner evolutions

著者

• Chen, Zhen-Qing
• 福島, 正俊 フクシマ, マサトシ
• Murayama, Takuya

書誌事項

Stochastic Komatu-Loewner evolutions

Zhen-Qing Chen, Masatoshi Fukushima, Takuya Murayama

World Scientific, c2023

• :hbk.

注記

Includes bibliographical references (p.233-235) and index

内容説明・目次

内容説明

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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詳細情報

• NII書誌ID(NCID): BC1828615X
• ISBN:
  • 9789811262784
• LCCN: 2022038167
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New Jersey
• ページ数/冊数: xv, 238 p.
• 大きさ: 25 cm
• 分類:
  • DC23 : 519.2/33
  • DC23 : 519.233
  • LCC : QA274.75
• 件名:
  • LCSH : Brownian motion processes -- Mathematical models
  • LCSH : Markov processes -- Mathematical models
  • LCSH : Stochastic analysis -- Mathematical models