A quasi-sure non-degeneracy property for the Brownian rough path

In the present paper, we are going to show that outside a slim set in the sense of Malliavin (or quasi-surely), the signature path (which consists of iterated path integrals in every degree) of Brownian motion is non-self-intersecting. This property relates closely to a non-degeneracy property for t...

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Bibliographic Details
Main Authors: Boedihardjo, H, Geng, X, Liu, X, Qian, Z
Format: Journal article
Published: Springer Netherlands 2018