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Stochastic Komatu-Loewner Evolutions

af Zhen-Qing Chen
Stochastic Komatu-Loewner Evolutions af Zhen-Qing Chen
Bag om 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.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9789811262784
  • Indbinding:
  • Hardback
  • Sideantal:
  • 256
  • Udgivet:
  • 11. januar 2023
  • Størrelse:
  • 175x18x250 mm.
  • Vægt:
  • 629 g.
  • 2-3 uger.
  • 10. december 2024
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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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