Skip to main content

Diffeomorphisms of the circle and the based stochastic loop space

  • Conference paper
  • First Online:
Séminaire de Probabilités XXXI

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1655))

  • 520 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 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 65.00
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.

Bibliography

  • [B] Bismut J.M.: Large deviations and the Malliavin calculus. Progress in Math. 45, Birkhäuser (1984).

    Google Scholar 

  • [G.J.P] Getzler E., Jones, J.D.S., Petrack S: Differential forms on loop spaces and the cyclic bar complex. Topology 30, 339–373 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  • [J.L] Jones J.D.S., Léandre R.: L p Chen forms on loop spaces. In “Stochastic Analysis”, M.T. Barlow and N.H. Bingham editors, 104–162, Cambridge University Press (1991).

    Google Scholar 

  • [K] Kosyak A.V.: Irreducible regular gaussian representations of the group of the interval and circle diffeomorphism. J. funct. Anal. 125, 493–547 (1994).

    Article  MathSciNet  MATH  Google Scholar 

  • [L] Léandre R.: Invariant Sobolev Calculus on the free loop space. to appear in Acta Applicandae Mathematicae.

    Google Scholar 

  • [M.M.] Malliavin M.P., Malliavin P.: An infinitesimally quasi-invariant measure on the group of diffeomorphisms of the circle. In “Integration on loop groups”, Publication de l’Université Paris VI (1990).

    Google Scholar 

  • [N] Nualart D.: The Malliavin calculus and related topics. Springer (1995).

    Google Scholar 

  • [Sh] Shavgulidze E.T.: Distributions on infinite-dimensional spaces and second quantization in string theories II. In “Vth International Vilnius Conference in Probability and Mathematical Statistics”, 359–360 (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jacques Azéma Marc Yor Michel Emery

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Léandre, R. (1997). Diffeomorphisms of the circle and the based stochastic loop space. In: Azéma, J., Yor, M., Emery, M. (eds) Séminaire de Probabilités XXXI. Lecture Notes in Mathematics, vol 1655. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0119317

Download citation

  • DOI: https://doi.org/10.1007/BFb0119317

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62634-3

  • Online ISBN: 978-3-540-68352-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics