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math.PR2022★ 1 cited
Geometric decomposition of flows generated by rough path differential equations
Pedro Catuogno, Lourival Lima, Paulo Ruffino
Whenever an Itô-Wentsel type of formula holds for composition of flows of a certain differential dynamics, there exists locally a decomposition of the corresponding flow according…
math.DS2022
Geometric aspects of Young Integral: decomposition of flows
Lourival Lima, Paulo Ruffino, Pedro Catuogno
In this paper we study geometric aspects of dynamics generated by Young differential equations (YDE) driven by -Hölder trajectories with . We present a number of…