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ABSTRACT:
SUBMITTER: Wouters J
PROVIDER: S-EPMC6451976 | biostudies-literature | 2019 Mar
REPOSITORIES: biostudies-literature
Wouters Jeroen J Gottwald Georg A GA
Proceedings. Mathematical, physical, and engineering sciences 20190306 2223
We derive Edgeworth expansions that describe corrections to the Gaussian limiting behaviour of slow-fast systems. The Edgeworth expansion is achieved using a semi-group formalism for the transfer operator, where a Duhamel-Dyson series is used to asymptotically determine the corrections at any desired order of the time-scale parameter <i>ε</i>. The corrections involve integrals over higher-order auto-correlation functions. We develop a diagrammatic representation of the series to control the comb ...[more]