Rough Volterra equations 2: convolutional generalized integrals

Mathematics – Probability

Scientific paper

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32 pages, 2 figures

Scientific paper

We define and solve Volterra equations driven by an irregular signal, by
means of a variant of the rough path theory allowing to handle generalized
integrals weighted by an exponential coefficient. The results are applied to
the fractional Brownian motion with Hurst coefficient greater than 1/3

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