Heat Kernel Measure on Central Extension of Current Groups in any Dimension

We define measures on central extension of current groups in any dimension by using infinite dimensional Brownian motion.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA

Produit de Moyal stochastique sur l'espace de Wiener

We propose a stochastic extension of deformation quantization on a Hilbert space. The Moyal product is defined in this context on the space of functionals belonging to all of the Sobolev spaces of the Malliavin calculus.Comment: 5 page

Varadhan estimates for an operator of order four on a lie group

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Long Time Behaviour on a Path Group of the Heat Semi-group Associated to a Bilaplacian

We show that in long-time the heat semi-group on a path group associated to a Bilaplacian on the group tends to the Haar distribution on a path group