Lipschitz functions on unparameterised rough paths and the Brownian motion associated to the bilaplacian

<p>This thesis is a tale of two halves. The first introduces the space of unparameterised geometric rough paths and develops a notion of Lipschitz function on this space. The second associates an expected signature to the bilaplacian and culminates in an analogue of the Feynman-Kac formula for...

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Bibliographic Details
Main Author: Nejad, S
Other Authors: Lyons, T
Format: Thesis
Published: 2018
Subjects: