Diffeomorphisms of the circle and the based stochastic loop space

Rémi Léandre

Séminaire de probabilités de Strasbourg (1997)

  • Volume: 31, page 322-326

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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

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  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). 

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