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math.PR2022
On the Wiener Chaos Expansion of the Signature of a Gaussian Process
Emilio Ferrucci, Thomas Cass
We compute the Wiener chaos decomposition of the signature for a class of Gaussian processes, which contains fractional Brownian motion (fBm) with Hurst parameter H in (1/4, 1). At…
math.CA2022
A Transfer Principle for Branched Rough Paths
Emilio Ferrucci
A branched rough path consists of a rough integral calculus for which may fail to satisfy integration by parts. Using Kelly's bracket extensio…