Boundary Trace of a Class of Diffusion Processes

Speaker: Lidan Wang (University of Washington)

Abstract: For a reflecting Bessel process, the inverse local time at 0 is an \$\alpha\$-stable subordinator, then the corresponding subordinate Brownian motion is a symmetric \$2\alpha\$-stable process. Based on a discussion of Esscher and Girsanov transforms of general diffusions, we would get a comparison theorem between inverse local times of Bessel processes and perturbed Bessel processes. An immediate application would be Green function estimates of trace processes.

This is joint work with Prof. Zhen-Qing Chen.