Skip to main content

Haussdorf dimension for the statistical equilibrium of stochastics flows

Part of the Lecture Notes in Mathematics book series (LNM,volume 1158)

Keywords

  • Lyapunov Exponent
  • Invariant Probability Measure
  • Lyapunov Spectrum
  • Stochastic Dynamical System
  • Stochastic Flow

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   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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. P. BAXENDALE: Asymptotic behaviour of stochastic flows of difféomorphisms. Two case studies. Preprint (1984).

    Google Scholar 

  2. A. CARVERHILL: Flows of stochastic dynamical systems. Ergodic theory. To appear in "Stochastics".

    Google Scholar 

  3. F. LEDRAPPIER: Some relations between dimension and Lyapunov exponents. Comm. Math. Phys. 81, 229–238 (1981).

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. F. LEDRAPPIER: Ecole d'Eté de Probabilités de St-Flour (1982). Springer Lecture Notes n° 1097.

    Google Scholar 

  5. Y. LE JAN: Equilibrium state for a turbulent flow of diffusion. Proceedings "Stochastic processes and infinite dimensional analysis" Bielefeld 1983. Pitman Lecture Notes. (To appear in 1985).

    Google Scholar 

  6. Y. LE JAN: Equilibre et exposants de Lyapunov de certains flots browniens. CR Acad. Sci. Paris t. 298, Série I, 361–364 (1984).

    MATH  Google Scholar 

  7. Y. LE JAN: On Isotropic Brownian Motions. Preprint (1984).

    Google Scholar 

  8. Y. LE JAN: Exposants de Lyapunov pour les mouvements browniens isotropes. CP. Acad. Sci. Paris t. 299, Série I, 947–949 (1984).

    MathSciNet  MATH  Google Scholar 

  9. V.I. OSELEDETZ: Multiplicative ergodic theorem. Trans. Moscow Math. Soc. 19, 197–221 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Le Jan, Y. (1986). Haussdorf dimension for the statistical equilibrium of stochastics flows. In: Albeverio, S.A., Blanchard, P., Streit, L. (eds) Stochastic Processes — Mathematics and Physics. Lecture Notes in Mathematics, vol 1158. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080218

Download citation

  • DOI: https://doi.org/10.1007/BFb0080218

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15998-8

  • Online ISBN: 978-3-540-39703-8

  • eBook Packages: Springer Book Archive