Further Results On Energy

  • Z. R. Pop-Stojanovic
  • Murali Rao
Part of the Progress in Probability and Statistics book series (PRPR, volume 7)


This is a continuation of earlier papers [5], [6] which treat the role of energy in probabilistic potential theory. Unfortunately, this role has not yet received the attention it enjoyed in classical potential theory where the symmetry of the potential kernel plays an essential role.


Weak Convergence Potential Theory Additive Functional Finite Energy Excessive Function 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    R.M. BLUMENTHAL and R.K. GETOOR. Markov Processes and Potential Theory, Academic Press, New York, 1968.MATHGoogle Scholar
  2. 2.
    C. DELLACHERIE and P.A. MEYER. Probabilités et Potentiel, Vol. II. Hermann, Paris, 1980.Google Scholar
  3. 3.
    L.L. HELMS. Introduction to Potential Theory. Robert E. Krieger Publishing Company, Huntington New York, 1975.Google Scholar
  4. 4.
    P.A. MEYER. Probability and Potentials. Blaisdell, Waltham, 1966.MATHGoogle Scholar
  5. 5.
    Z.R. POP-STOJANOVIC and MURALI RAO. Some results on Energy. Seminar on Stochastic Processes 1981, pp. 135–150. Birkhäuser, Boston, 1981.Google Scholar
  6. 6.
    Z.R. POP-STOJANOVIC and MURALI RAO. Remarks on Energy. Seminar on Stochastic Processes 1982, pp. 229–235. Birkhäuser, Boston, 1983.Google Scholar
  7. 7.
    D. REVUZ. Mesures associées à fonctionnelles additive de Markov. Trans. Amer. Math. Soc. 148 (1970) 501–531.MathSciNetMATHGoogle Scholar

Copyright information

© Birkhäuser Boston, Inc. 1984

Authors and Affiliations

  • Z. R. Pop-Stojanovic
    • 1
  • Murali Rao
    • 1
  1. 1.Department of MathematicsUniversity of FloridaGainesvilleUSA

Personalised recommendations