Joshua M. Tokle

C-18 Padelford Hall

Department of Mathematics
University of Washington
Seattle, WA  98195-4350

Teaching

• Math 307; Autumn 2009
• Math 307; Summer 2009

Research

My research interests lie on the analytic side of probability theory. With my advisor, Zhen-Qing Chen, I've been studying two-sided bounds for the heat kernels of symmetric α-stable processes and censored stable processes. I hope to extend this work to more general processes like, for example, Markov processes with both diffusion and jump components in bounded domains.

• Global Heat Kernel Estimates for Fractional Laplacians in Unbounded Open Sets (with Zhen-Qing Chen), arXiv:0906.1234 [math.PR].
• Möbius transformations of polygons and partitions of 3-space, J. Knot Theory Ramifications 17 (2008), 1401–1413 (with Richard Randell and Jonathan Simon).