Diffeomorphisms of the circle and the based stochastic loop space
Séminaire de probabilités de Strasbourg, Tome 31 (1997), pp. 322-326. 
@article{SPS_1997__31__322_0,
     author = {L\'eandre, R\'emi},
     title = {Diffeomorphisms of the circle and the based stochastic loop space},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     pages = {322--326},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {31},
     year = {1997},
     mrnumber = {1478741},
     zbl = {0884.60062},
     language = {en},
     url = {http://archive.numdam.org/item/SPS_1997__31__322_0/}
}
TY  - JOUR
AU  - Léandre, Rémi
TI  - Diffeomorphisms of the circle and the based stochastic loop space
JO  - Séminaire de probabilités de Strasbourg
PY  - 1997
SP  - 322
EP  - 326
VL  - 31
PB  - Springer - Lecture Notes in Mathematics
UR  - http://archive.numdam.org/item/SPS_1997__31__322_0/
LA  - en
ID  - SPS_1997__31__322_0
ER  - 
%0 Journal Article
%A Léandre, Rémi
%T Diffeomorphisms of the circle and the based stochastic loop space
%J Séminaire de probabilités de Strasbourg
%D 1997
%P 322-326
%V 31
%I Springer - Lecture Notes in Mathematics
%U http://archive.numdam.org/item/SPS_1997__31__322_0/
%G en
%F SPS_1997__31__322_0
Léandre, Rémi. Diffeomorphisms of the circle and the based stochastic loop space. Séminaire de probabilités de Strasbourg, Tome 31 (1997), pp. 322-326. http://archive.numdam.org/item/SPS_1997__31__322_0/

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

[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). | MR | Zbl

[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). | MR | Zbl

[K] Kosyak A.V.: Irreducible regular gaussian representations of the group of the interval and circle diffeomorphism. J. Funct. Anal. 125, 493-547 (1994). | MR | Zbl

[L] Léandre R.: Invariant Sobolev Calculus on the free loop space. To appear in Acta Applicandae Mathematicae. | MR | Zbl

[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).

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

[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).