A Renormalized Rough Path over Fractional Brownian Motion

作者:Unterberger Jeremie*
来源:Communications in Mathematical Physics, 2013, 320(3): 603-636.
DOI:10.1007/s00220-013-1707-0

摘要

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 (Unterberger, Commun Math Phy 298(1):1-36, 2010) 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.

  • 出版日期2013-6

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