Skip to main content

Potential theory of symmetric markov processes and its applications

Part of the Lecture Notes in Mathematics book series (LNM,volume 550)

Keywords

  • Standard Process
  • Dirichlet Form
  • Dirichlet Space
  • Fine Capacity
  • Hunt Process

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Beurling and J. Deny, Dirichlet spaces, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 208–215.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R.M. Blumenthal and R.K. Getoor, Markov processes and potential theory, Academic press, New York and London, 1968.

    MATH  Google Scholar 

  3. S. Carrillo Menedez, Processus de Markov associé a une forme de Dirichlet non symétrique, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 33 (1975), 139–154.

    CrossRef  MATH  Google Scholar 

  4. E.B. Dynkin, Markov processes, vol. 1, vol. 2, Springer-Verlag, Berlin-Heidelberg-New York, 1965.

    CrossRef  MATH  Google Scholar 

  5. M. Fukushima, Dirichlet spaces and strong Markov processes, Trans. Amer. Math. Soc., 162 (1971), 185–224.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. M. Fukushima, On transition probabilities of symmetric strong Markov processes, J. Math. Kyoto Univ., 12 (1972), 431–450.

    MathSciNet  MATH  Google Scholar 

  7. M. Fukushima, On the generation of Markov processes by symmetric forms, Proc. 2nd Japan-USSR symp. on probability theory, Lecture Notes in Math., vol. 330, Springer-Verlag, Berlin-Heidelberg-New York, 1973.

    Google Scholar 

  8. M. Fukushima, Almost polar sets and an ergodic theorem, J. Math. Soc. Japan, 26 (1974), 17–32.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. M. Fukushima, Local property of Dirichlet forms and continuity of sample paths, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 29 (1974), 1–6.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. N. Ikeda and S. Watanabe, The local structure of a class of diffusions and related problems, Proc. 2nd Japan-USSR symp. on probability theory, Lecture Notes in Math., vol 330, Springer-Verlag, Berlin-Heidelberg-New York, 1973.

    Google Scholar 

  11. M.L. Silverstein, Symmetric Markov processes, Lecture Notes in Math., vol. 426, Springer-Verlag, Berlin-Heidelberg-New York, 1974.

    MATH  Google Scholar 

  12. M. Takano, On a fine capacity related to a symmetric Markov process, Proc. Japan Acad., 48 (1972), 599–602.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Fukushima, M. (1976). Potential theory of symmetric markov processes and its applications. In: Maruyama, G., Prokhorov, J.V. (eds) Proceedings of the Third Japan — USSR Symposium on Probability Theory. Lecture Notes in Mathematics, vol 550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077487

Download citation

  • DOI: https://doi.org/10.1007/BFb0077487

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07995-8

  • Online ISBN: 978-3-540-37966-9

  • eBook Packages: Springer Book Archive