Quasi-regular Dirichlet forms: examples and counterexamples

Michael Röckner, Byron Schmuland
1995 Canadian Journal of Mathematics - Journal Canadien de Mathematiques  
We prove some new results on quasi-regular Dirichlet forms. These include results on perturbations of Dirichlet forms, change of speed measure, and tightness. The tightness implies the existence of an associated right continuous strong Markov process. We also discuss applications to a number of examples including cases with possibly degenerate (sub)-elliptic part, diffusions on loops spaces, and certain Fleming-Viot processes.
doi:10.4153/cjm-1995-009-3 fatcat:waqhepp2gvc3rhb2yidhcgac3m