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A new definition of rough paths on manifolds

Abstract:

Smooth manifolds are not the suitable context for trying to generalize the concept of rough paths as quantitative estimates -which will be lost is this case- are key in this matter. Moreover, even with a definition of rough paths in smooth manifolds, rough differential equations can only be expected to be solved locally in such a case. In this paper, we first recall the foundations of the Lipschitz geometry, introduced in "Rough Paths on Manifolds" (Cass, T., Litterer, C. & Lyons, T.), al...

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Publication status:
Not Published
Peer review status:
Not peer reviewed

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Authors


Boutaib, Y More by this author
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Department:
Oxford, SSD, Divisional Administration, Oxford-Man Institute, Mathematical Institute
Journal:
arXiv
Pubs id:
pubs:572433
URN:
uri:9fbe71e2-5dae-4b53-94c6-36c4405e977d
UUID:
uuid:9fbe71e2-5dae-4b53-94c6-36c4405e977d
Local pid:
pubs:572433
Keywords:

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