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.
@article{1120224590,
author = {L\'eandre, R\'emi},
title = {Stochastic equivariant cohomologies and cyclic cohomology},
journal = {Ann. Probab.},
volume = {33},
number = {1},
year = {2005},
pages = { 1544-1572},
language = {en},
url = {http://dml.mathdoc.fr/item/1120224590}
}
Léandre, Rémi. Stochastic equivariant cohomologies and cyclic cohomology. Ann. Probab., Tome 33 (2005) no. 1, pp. 1544-1572. http://gdmltest.u-ga.fr/item/1120224590/