Diffeomorphisms of the circle and the based stochastic loop space

Rémi Léandre

Séminaire de probabilités de Strasbourg (1997)

  • Volume: 31, page 322-326

How to cite

top

Léandre, Rémi. "Diffeomorphisms of the circle and the based stochastic loop space." Séminaire de probabilités de Strasbourg 31 (1997): 322-326. <http://eudml.org/doc/113968>.

@article{Léandre1997,
author = {Léandre, Rémi},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {loop space of a compact manifold; space of diffeomorphisms; space of stochastic loops; quasi-invariant measures},
language = {eng},
pages = {322-326},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Diffeomorphisms of the circle and the based stochastic loop space},
url = {http://eudml.org/doc/113968},
volume = {31},
year = {1997},
}

TY - JOUR
AU - Léandre, Rémi
TI - Diffeomorphisms of the circle and the based stochastic loop space
JO - Séminaire de probabilités de Strasbourg
PY - 1997
PB - Springer - Lecture Notes in Mathematics
VL - 31
SP - 322
EP - 326
LA - eng
KW - loop space of a compact manifold; space of diffeomorphisms; space of stochastic loops; quasi-invariant measures
UR - http://eudml.org/doc/113968
ER -

References

top
  1. [B] Bismut J.M.: Large deviations and the Malliavin calculus. Progress in Math.45, Birkhäuser (1984). Zbl0537.35003MR755001
  2. [G.J.P] Getzler E., Jones J.D.S., Petrack S.: Differential forms on loop spaces and the cyclic bar complex. Topology30, 339-373 (1971). Zbl0729.58004MR1113683
  3. [J.L] Jones J.D.S., Léandre R.: Lp Chen forms on loop spaces. In "Stochastic Analysis", M. T. Barlow and N. H. Bingham editors, 104-162, Cambridge University Press (1991). Zbl0756.58003MR1166409
  4. [K] Kosyak A.V.: Irreducible regular gaussian representations of the group of the interval and circle diffeomorphism. J. Funct. Anal.125, 493-547 (1994). Zbl0829.22032MR1297679
  5. [L] Léandre R.: Invariant Sobolev Calculus on the free loop space. To appear in Acta Applicandae Mathematicae. Zbl0895.60055MR1440476
  6. [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). MR1187301
  7. [N] Nualart D.: The Malliavin calculus and related topics. Springer (1995). Zbl0837.60050MR1344217
  8. [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). 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.