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math.DS2018
A condition that implies full homotopical complexity of orbits
Salvador Addas-Zanata, Bruno de Paula Jacoia
We consider closed orientable surfaces of genus and homeomorphisms homotopic to the identity. A set of hypotheses is presented, called fully essential…
math.DS2018
A consequence of the growth of rotation sets for families of diffeomorphisms of the torus
Salvador Addas-Zanata
In this paper we consider -generic families of area-preserving diffeomorphisms of the torus homotopic to the identity and their rotation sets. Let $f_t:\rm{T^2\rightarro…