Journal of Theoretical Probability

, Volume 2, Issue 4, pp 487–501

Time changes of symmetric Markov processes and a Feynman-Kac formula

  • P. J. Fitzsimmons

DOI: 10.1007/BF01051880

Cite this article as:
Fitzsimmons, P.J. J Theor Probab (1989) 2: 487. doi:10.1007/BF01051880


We prove a Feynman-Kac formula in the context of symmetric Markov processes and Dirichlet spaces. This result is used to characterize the Dirichlet space of the time change of an arbitrary symmetric Markov process, completing work of Silverstein and Fukushima.

Key Words

Dirichlet spacetime changeFeynman-Kac formulasymmetric process

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • P. J. Fitzsimmons
    • 1
  1. 1.Department of Mathematics, C-012University of California, San DiegoLa Jolla