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arXiv · 1403.3285

Rough integrators on Banach manifolds

Ismael Bailleul
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Abstract

We introduce a notion of p-rough integrator on any Banach manifolds, for any $p\geq 1$, which plays the role of weak geometric Holder p-rough paths in the usual Banach space setting. The awaited results on rough differential equations driven by such objects are proved, and a canonical representation is given if the manifold is equipped with a connection.

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Ismael Bailleul. 2014-07-22. Rough integrators on Banach manifolds. https://arxiv.org/abs/1403.3285

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