# Rough integrators on Banach manifolds

* Corresponding author
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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Submitted on : Thursday, October 21, 2021 - 7:27:52 PM
Last modification on : Wednesday, November 3, 2021 - 9:34:47 AM

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### Citation

Ismaël Bailleul. Rough integrators on Banach manifolds. Bulletin des Sciences Mathématiques, Elsevier, 2019, 151, pp.51-65. ⟨10.1016/j.bulsci.2018.12.001⟩. ⟨hal-00979559⟩

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