Abstract
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.
Citation
Rémi Léandre. "Stochastic equivariant cohomologies and cyclic cohomology." Ann. Probab. 33 (4) 1544 - 1572, July 2005. https://doi.org/10.1214/009117905000000170
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