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math.DS2025
Decomposition of discontinuous flows of diffeomorphisms: jumpings, geometrical and topological aspects
Lourival Lima, Paulo Ruffino
Let be a compact manifold equipped with a pair of complementary foliations, say horizontal and vertical . In Melo, Morgado and Ruffino (Disc Cont Dyn…
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…