Stochastic Equivariant Cohomologies and Cyclic Cohomology

Mathematics – Probability

Scientific paper

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Published at http://dx.doi.org/10.1214/009117905000000170 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117905000000170

We give two stochastic diffeologies on the free loop space which allow us to
define stochastic equivariant cohomology theories in the Chen-Souriau sense and
to establish a link with cyclic cohomology. With the second one, we can
establish a stochastic fixed point theorem.

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