Skip to main content

Some remarks on energy and duality

  • Conference paper
  • First Online:
Functional Analysis in Markov Processes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 923))

  • 647 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. M. Blumenthal and R. K. Getoor, Markov Processes and Potential Theory. Academic Press, NY (1968).

    MATH  Google Scholar 

  2. K. L. Chung and M. Rao. Equilibrium and energy. To appear.

    Google Scholar 

  3. E. Çinlar, J. Jacod, P. Protter and M. Sharpe. Semimartingales and Markov processes, Z. W. v. G. 54 (1980), 161–219.

    MathSciNet  MATH  Google Scholar 

  4. M. Fukushima. Dirichlet Forms and Markov Processes. North Holland (1980).

    Google Scholar 

  5. J. Glover, Energy and the maximum principle for nonsymmtric Hunt processes. To appear.

    Google Scholar 

  6. P. A. Meyer. Interprétation probabiliste de la notion d'énergie. Séminaire Brelot-Choquet-Deny (1962/63, no. 5).

    Google Scholar 

  7. D. Revuz. Mesures associées aux fonctionnelles additives de Markov I. Trans. Amer. Math. Soc. 148 (1970), 501–531.

    MathSciNet  MATH  Google Scholar 

  8. M. J. Sharpe. Exact multiplicative functionals in duality. Ind. Univ. Math. Jour. 21 (1971), 27–60.

    Article  MathSciNet  MATH  Google Scholar 

  9. M. J. Sharpe. Discontinuous additive functionals of dual processes. Z. W. v. G. 21 (1972), 81–95.

    MathSciNet  MATH  Google Scholar 

  10. M. J. Sharpe. General Theory of Markov Processes. Forthcoming book.

    Google Scholar 

  11. J. B. Walsh and P. A. Meyer. Quelques applications des résolventes de Ray. Invent. Math. 14 (1971), 143–166.

    Article  MathSciNet  MATH  Google Scholar 

  12. M. Weil. Quasi-processus et énergie. Sém. de Probab. V. Springer Lecture Notes 191 (1971), 347–361.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

M. Fukushima

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Getoor, R.K., Sharpe, M.J. (1982). Some remarks on energy and duality. In: Fukushima, M. (eds) Functional Analysis in Markov Processes. Lecture Notes in Mathematics, vol 923. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093041

Download citation

  • DOI: https://doi.org/10.1007/BFb0093041

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11484-0

  • Online ISBN: 978-3-540-39155-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics