43rd Midwest Probability Colloquium

Title: Boundary Green's Function and Minkowski Content of SLE_\kappa(\rho)
Speaker: Dapeng Zhan
Speaker Info: Michigan State University
Brief Description:
Special Note:

We prove the existence of the intersection of an SLE$_\kappa(\rho)$ curve with a real interval using the standard approach, which is to estimate the convergence rate of one-point and two-point boundary Green's functions of SLE$_\kappa(\rho)$. Then we show the existence of a conformally covariant measure on the intersection of an SLE$_\kappa(\rho)$ curve with a half real line, which is closely related to the Minkowski content. Using the Minkowski content measure, we construct rooted and unrooted SLE$_\kappa(\rho)$ bubble measures, which are supported on loops and satisfy SLE$_\kappa(\rho)$-type domain Markov property.
Date: Saturday, October 22, 2022
Time: 1:30pm
Where: 107 Swift Hall
Contact Person: Elton P. Hsu
Contact email: ehsu@math.northwestern.edu
Contact Phone: 1-8541
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