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math.PR2025
Controlled rough paths: a general Hopf-algebraic setting
Zhicheng Zhu, Xing Gao, Nannan Li +1
We set up controlled rough paths for a class of combinatorial Hopf algebras, encompassing shuffle, Butcher-Connes-Kreimer and Munthe-Kaas--Wright Hopf algebras. The class of contro…
math.PR2024
Rough differential equations and planarly branched universal limit theorem
Xing Gao, Nannan Li, Dominique Manchon
The universal limit theorem is a central result in rough path theory, which has been proved for: (i) rough paths with roughness ; (ii) geometric rou…