Asymptotics of high order noise corrections

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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5 pages, 6 figures, submitted to J. Stat. Phys

Scientific paper

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.

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