Mathematics – Probability
Scientific paper
2005-07-22
Annals of Probability 2005, Vol. 33, No. 4, 1544-1572
Mathematics
Probability
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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