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Delay equations driven by rough paths (2007)

Abstract
In this article, we illustrate the flexibility of the algebraic integration formalism introduced by M. Gubinelli (2004), by establishing an existence and uniqueness result for delay equations driven by rough paths. We then apply our results to the case where the driving path is a fractional Brownian motion with Hurst parameter H>1/3.

Publication details
Download http://hal.archives-ouvertes.fr/hal-00188368/en/
Publisher HAL - CCSD
Repository INRIA a CCSD electronic archive server based on P.A.O.L (France)
Keywords Mathematics/Probability, rough paths theory, delay equation, fractional Brownian motion, Malliavin calculus
Language English
Relation http://hal.inria.fr/docs/00/18/83/68/PDF/delay-discrete14.pdf