Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Probability Theory and Related Fields
  3. Article
Free energy for Brownian and geodesic homology
Download PDF
Download PDF
  • Published: 01 March 1995

Free energy for Brownian and geodesic homology

  • Y. Le Jan1 

Probability Theory and Related Fields volume 102, pages 57–61 (1995)Cite this article

  • 115 Accesses

  • 3 Citations

  • Metrics details

Summary

Existence and analyticity of the free energies associated with the asymptotic homology of Brownian paths and geodesics are proved and a simple relation is found between them.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

References

  • [B-D] Ben Arous, G., Deuschel, J.D.: The rate function of hypoelliptic diffusions. Prepublication 93-09, Orsay

  • [D-S] Deuschel, J.D., Stroock, D.W.: Large deviations. New York: Academic Press 1989

    MATH  Google Scholar 

  • [E] Ellis, R.: Entropy, large deviations and statistical mechanics. Berlin: Springer 1985

    Book  MATH  Google Scholar 

  • [I-W] Ikeda, N., Watanabe, S.: Stochastic differential equations and diffusion processes. North Holland/Kadansha 1981

  • [Ka] Kato, T.: Perturbation theory for linear operators. Berlin: Springer 1976

    Book  MATH  Google Scholar 

  • [Ki] Kifer, Y.: Large deviations in dynamical systems and stochastic processes. TAMS321, 505–524 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  • [Kr] Krasnosel'skii, M.A.: Positive solutions of operator equations. Noordhoff, Groningen 1964

    Google Scholar 

  • [L1] Le Jan, Y.: Sur l'enroulement géodésique des surfaces de Riemann. C.R. Acad. Sci. Paris314, 763–765 1992

    Google Scholar 

  • [L2] Le Jan, Y.: The central limit theorem for the geodesic flow on non compact manifolds of constant negative curvature. Duke Math. J.74, 159–175 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  • [L] Ledrappier, F.: Ergodic properties of Brownian motion on covers of compact negatively curved manifolds. Bul. Soc. Mat. Bros.19, 115–140 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  • [M] Manabe, S.: Large deviations for a class of current valued processes. Osaka J. Math.29, 89–102 (1992)

    MathSciNet  MATH  Google Scholar 

  • [P-P] Parry, N., Pollicot, M.: Zeta functions and the periodic orbit structure of hyperbolic dynamics. Astérisque 187–188 (1990)

  • [T] Takahashi, Y.: Two aspects of large deviation theory for large time. Katata Taniguchi Symposium. Probabilistic methods in mathematical physics. Amsterdam: North-Holland 1985

    Google Scholar 

  • [W] Waddington, S.: Large deviations asymptotics for Anosov flows. Preprint

Download references

Author information

Authors and Affiliations

  1. Department de Mathématiques, Université Paris-Sud, F-91405, Orsay Cedex, France

    Y. Le Jan

Authors
  1. Y. Le Jan
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Le Jan, Y. Free energy for Brownian and geodesic homology. Probab. Theory Relat. Fields 102, 57–61 (1995). https://doi.org/10.1007/BF01295221

Download citation

  • Received: 21 November 1994

  • Published: 01 March 1995

  • Issue Date: March 1995

  • DOI: https://doi.org/10.1007/BF01295221

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Mathematics Subject Classification

  • 60F10
  • 58F17
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature