Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
娄舒文 博士,Loyola University Chicago
Inviter:
李利平 博士
Title:
Electrical networks, Dirichlet forms, and Brownian motion with varying dimension II
Time & Venue:
2018.11.24 9:30 N620
Abstract:
This talk will be a continuation to "Electrical networks, Dirichlet forms, and Brownian motion with varying dimension I". We will present the methods and the main ingredients used for establishing the heat kernel estimate results for BMVD with or without drifts. For BMVD without drift, the key method for getting short-time HKE results is the radial process method. While the main ingredient for getting long-time HKE results is to get the on-diagonal estimate at the shorted point. The HKE results for BMVD with drift primarily rely on Duhamel's principle.