[http://citeseer.nj.nec.com/471661.html]

PJPotts, Department of Computing, Imperial College

"It is known that for almost all starting points, the non-deterministic DynamicalSystem corresponding to a HyperbolicIteratedFunctionSystem with probabilities generates orbits whose frequency of visits to any given Borel subset of the domain is described by the unique invariant measure of the IteratedFunctionSystem with probabilities. In this paper, we will show that under certain conditions this Chaotic Probability Measure can be approximated by a smooth probability density. We apply this result to ["ForgetfulNeuralNetwork"]s."