13 citations · 63 across the 22 of their papers we have counts for
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math.CA2015★ 5 cited
Note on the Signatures of Rough Paths in a Banach Space
Horatio Boedihardjo, Xi Geng, Terry Lyons +1
We prove some results, which are used in arXiv:1406.7871, about weakly geometric rough paths that are well-known in finite dimensions, but need proof in the infinite dimensional se…
math.CA2015
Uniform Factorial Decay Estimate for the Remainder of Rough Taylor Expansion
Horatio Boedihardjo, Danyu Yang, Terry Lyons
We establish an uniform factorial decay estimate for the Taylor approximation of solutions to controlled differential equations. Its proof requires a factorial decay estimate for c…
math.PR2015★ 11 cited
Decay Rate of Iterated Integrals of Branched Rough Paths
Horatio Boedihardjo
Iterated integrals of paths arise frequently in the study of the Taylor's expansion for controlled differential equations. We will prove a factorial decay estimate, conjectured by…