Skip to main content

On polar sets for hypoelliptic diffusion processes

  • 351 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1444)

Keywords

  • Vector Field
  • Brownian Motion
  • Green Function
  • Hausdorff Dimension
  • Natural Conjecture

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   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
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. P. BALDI and M. CHALEYAT-MAUREL: Sur l’équivalent du module de continuité des diffusions. Séminaire de Probabilités XXI. Lecture Notes Math.1245, 404–427. Springer, 1987.

    CrossRef  MathSciNet  Google Scholar 

  2. R.M. BLUMENTHAL and R.K. GETOOR: Markov processes and potential theory. Academic Press, 1968.

    Google Scholar 

  3. M. CHALEYAT-MAUREL and J.F. LE GALL: Green function, capacity and sample path properties for a class of hypoelliptic diffusion processes. To appear in Probab. Th. Rel. Fields (1989).

    Google Scholar 

  4. R.M. HERVE: Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel. Ann. Inst. Fourier12, 415–571 (1962).

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. H. HUEBER: The domination principle for the sum of squares of vector fields. Expo. Math.6, 183–184 (1988).

    MathSciNet  MATH  Google Scholar 

  6. A. NAGEL, E.M. STEIN and S. WAINGER: Balls and metrics defined by vector fields I. Basic properties. Acta Math.155, 103–147 (1985).

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. A. SANCHEZ-CALLE: Fundamental solutions and geometry of the sum of squares of vector fields. Invent. Math.78, 143–160 (1984).

    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

© 1990 Springer-Verlag

About this paper

Cite this paper

Chaleyat-Maurel, M., Le Gall, JF. (1990). On polar sets for hypoelliptic diffusion processes. In: Korezlioglu, H., Ustunel, A.S. (eds) Stochastic Analysis and Related Topics II. Lecture Notes in Mathematics, vol 1444. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083617

Download citation

  • DOI: https://doi.org/10.1007/BFb0083617

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53064-0

  • Online ISBN: 978-3-540-46596-6

  • eBook Packages: Springer Book Archive