15 citations · 42 across the 17 of their papers we have counts for
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math.CA2014★ 6 cited
Integration of time-varying cocyclic one-forms against rough paths
Terry J. Lyons, Danyu Yang
We embed the rough integration in a larger geometrical/algebraic framework of integrating one-forms against group-valued paths, and reduce the rough integral to an inhomogeneous an…
math.CA2014★ 5 cited
The Signature of a Rough Path: Uniqueness
Horatio Boedihardjo, Xi Geng, Terry Lyons +1
In the context of controlled differential equations, the signature is the exponential function on paths. B. Hambly and T. Lyons proved that the signature of a bounded variation pat…
math.CA2014★ 3 cited
Rough differential equation in Banach space driven by weak geometric p-rough path
Terry J. Lyons, Danyu Yang
By using an explicit ordinary differential equation to approximate the exponential solution flow, we extend the universal limit theorem to rough differential equation in Banach spa…