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arXiv · 1006.5604

A renormalized rough path over fractional Brownian motion

Jeremie Unterberger
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Abstract

We construct in this article a rough path over fractional Brownian motion with arbitrary Hurst index by (i) using the Fourier normal ordering algorithm introduced in \cite{Unt-Holder} to reduce the problem to that of regularizing tree iterated integrals and (ii) applying the Bogolioubov-Parasiuk-Hepp-Zimmermann (BPHZ) renormalization algorithm to Feynman diagrams representing tree iterated integrals.

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Jeremie Unterberger. 2010-06-29. A renormalized rough path over fractional Brownian motion. https://arxiv.org/abs/1006.5604

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