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arxiv: 1309.6082 · v1 · pith:QI4LLIL2new · submitted 2013-09-24 · 🧮 math.PR · math.CA

Flows driven by Banach space-valued rough paths

classification 🧮 math.PR math.CA
keywords roughdrivenbanachflowspathsspace-valueddifferentialdimensional
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We show in this note how the machinery of C^1-approximate flows devised in the work "Flows driven by rough paths", and applied there to reprove and extend most of the results on Banach space-valued rough differential equations driven by a finite dimensional rough path, can be used to deal with rough differential equations driven by an infinite dimensional Banach space-valued weak geometric Holder p-rough paths, for any p>2, giving back Lyons' theory in its full force in a simple way.

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