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A Fourier approach to pathwise stochastic integration

We develop a Fourier approach to rough path integration, based on the series decomposition of continuous functions in terms of Schauder functions. Our approach is rather elementary, the main ingredient being a simple commutator estimate, and it leads to recursive algorithms for the calculation of pathwise stochastic integrals, both of Itô and of Stratonovich type. We apply it to solve stochastic differential equations in a pathwise manner.

preprint2014arXivOpen access
Massimiliano GubinelliPeter ImkellerNicolas Perkowski
math.PR
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Open access3 authors1 topic
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Massimiliano GubinelliPeter ImkellerNicolas Perkowski

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