Asymptotics of high order noise corrections
arXiv:chao-dyn/9911016 · doi:10.1023/A:1026403314340
Abstract
We consider an evolution operator for a discrete Langevin equation with a strongly hyperbolic classical dynamics and noise with finite moments. Using a perturbative expansion of the evolution operator we calculate high order corrections to its trace in the case of a quartic map and Gaussian noise. The leading contributions come from the period one orbits of the map. The asymptotic behaviour is investigated and is found to be independent up to a multiplicative constant of the distribution of noise.
5 pages, 6 figures, submitted to J. Stat. Phys