Asymptotics of high order noise corrections

Niels Sondergaard; Gabor Vattay; Gergely Palla; Andre Voros

doi:10.1023/a:1026403314340

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arXiv · chao-dyn/9911016

Asymptotics of high order noise corrections

Niels Sondergaard·Gabor Vattay·Gergely Palla·Andre Voros

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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.

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Niels Sondergaard, Gabor Vattay, Gergely Palla, Andre Voros. 1999-11-12. Asymptotics of high order noise corrections. https://doi.org/10.1023/a%3A1026403314340

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