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Brownian motion with darning and conformal mappings

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강연자 Zhen-Qing Chen
소속 University of Washington
date 2012-05-31

Brownian motion with darning (BMD) is a diffusion process obtained from Brownian motion by shorting each hole in the space into one point. In this talk, I will present a quick introduction to BMD and its basic properties including the zero period property of its harmonic functions. I will then explain how BMD can be used to study conformal mappings of multiply connected planar domains and the associated Komatu-Leowner differential equations.
Based on an on-going joint work with Masatoshi Fukushima and Steffen Rohde.

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Department of Mathematical Sciences, Seoul National University GwanAkRo 1, Gwanak-Gu, Seoul 151-747, Korea
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