Byron Schmuland

473 Central Academic Building
Mathematical and Statistical Sciences,
University of Alberta,
Edmonton, Alberta, Canada, T6G 2G1


MScAlberta 1983
PhDCarleton 1987


Dirichlet forms are used to study diffusion processes. One of their advantages is in handling the case of infinite dimensional state spaces. Infinite dimensional processes are of interest in modelling complex natural systems such as a population of alleles in a gene pool.

The theory of Dirichlet forms stands halfway between functional analysis and probability theory, and the benefits flow in both directions. There is an intimate relationship between the analytic properties of a Dirichlet form and the sample path properties of its corresponding process. I find this interplay between probability and analysis fascinating, and to understand it better is the main goal of my research.

Teaching (Winter 2015):

Richard Mitchell:

Personal ¤ Publications ¤ Academic Staff ¤ Department ¤ University