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Rough integrators on Banach manifolds
release_p4fvgquxrncpnlb24hojr3h2ly
by
Ismael Bailleul
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as a article
.
2014
Abstract
We introduce a notion of p-rough integrator on any Banach manifolds, for any
p≥ 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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1403.3285v3
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