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math.DS2025
Genericity of ergodicity for Sobolev homeomorphisms
Assis Azevedo, Davide Azevedo, Mário Bessa +1
In this paper we obtain a weak version of Lusin's theorem in the Sobolev- uniform closure of volume preserving Lipschitz homeomorphisms on closed and connected -dimension…
math.DS2025
On the periodic orbits of C0-typical impulsive semiflows
Mario Bessa, Jaqueline Siqueira, Maria Joana Torres +1
Impulsive semiflows modeled by continuous flows and continuous impulsive functions, defined over an impulsive region, are piecewise continuous semiflows with piecewise smooth traje…
math.DS2013
The C0 general density theorem for geodesic flows
Mario Bessa, Maria Joana Torres
Given a closed Riemannian manifold, we prove the C0-general density theorem for continuous geodesic flows. More precisely, that there exists a residual (in the C0-sense) subset of…