Mathematical Conversations | |

Topic: | Harmonic measure and boundary regularity |

Speaker: | Zihui Zhao |

Affiliation: | Member, School of Mathematics |

Date: | Wednesday, February 13 |

Time/Room: | 6:00pm - 7:30pm/Dilworth Room |

Given a domain, the harmonic measure is a measure that relates any boundary function to its harmonic extension; it is also the hitting probability of the boundary for a Brownian motion moving inside the domain. We will talk about the relationship between the harmonic measure and the boundary surface measure, under various geometric assumptions of the domain.