Benedict Baur presents modern functional analytic methods for construction and analysis of
Feller processes in general and diffusion processes in particular. Topics covered are:
Construction of Lp-strong Feller processes using Dirichlet form methods regularity for
solutions of elliptic boundary value problems construction of elliptic diffusions with
singular drift and reflection Skorokhod decomposition and applications to Mathematical Physics
like finite particle systems with singular interaction. Emphasize is placed on the handling of
singular drift coefficients as well as on the discussion of point wise and path wise
properties of the constructed processes rather than just the quasi-everywhere properties
commonly known from the general Dirichlet form theory.
