Considerons une variete compacte orientable M. Supposons qu'elle soit munie d'un groupe
periodique de diffeornorphisrnes. L'exemple typique est la sphere lorsqu'on la fait tourner le …

We define the universal cover of the Brownian bridge of a symplectic manifold. This allows
us to define a non-trivial functional over it called the stochastic symplectic action, and to …

In this paper, we will give a sufficient condition on the logarithmic derivative of the heat
kernel under which a logarithmic Sobolev inequality (LSI, in abbreviation) on a loop space …

We define a de Rham complex over a product manifold (infinite product of compact
manifolds), and Dirichlet operators on differential forms, associated with differentiable …

Laplace operators on differential forms over configuration spaces - ScienceDirect Skip to main
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This paper is devoted to the investigation of semidirect products of loop groups and
homeomorphism or diffeomorphism groups of finite-and infinite-dimensional real, complex …

Let ΓX denote the space of all locally finite configurations in a complete, stochastically
complete, connected, oriented Riemannian manifold X, whose volume measure m is infinite …

Analysis on Loop Spaces and Topology Page 1 Mathematical Notes, vol. 72, no. 2, 2002, pp.
212–229. Translated from Matematicheskie Zametki, vol. 72, no. 2, 2002, pp. 236–257. Original …

A stochastic approach to the Euler-Poincar6 number of the loop space of a developable
orbifold Page 1 JOURNAL OF GEOMETRY^~D PHYSICS EI~SEVIER Journal of Geometry and …

The space ΓX of all locally finite configurations in a Riemannian manifold X of infinite volume
is considered. The deRham complex of square-integrable differential forms over ΓX …