We discuss the difficulties of effective simulation by studying the case of functionals of multivariate Brownian functionals. This leads us to propose a definition of s-functionals which could be a step toward a statement like a Church thesis for simulatable random variates.
@article{hal-00448672,
author = {Bouleau, Nicolas},
title = {Irregular and Simulatable Functionals on Wiener Space},
journal = {HAL},
volume = {1992},
number = {0},
year = {1992},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00448672}
}
Bouleau, Nicolas. Irregular and Simulatable Functionals on Wiener Space. HAL, Tome 1992 (1992) no. 0, . http://gdmltest.u-ga.fr/item/hal-00448672/