On the rotation sets of generic homeomorphisms on the torus $\mathbb T^d$
H. Lima,
P. Varandas
Abstract:We study the rotation sets for homeomorphisms homotopic to the identity on the torus T d , d ≥ 2. In the conservative setting, we prove that there exists a Baire residual subset of the set Homeo 0,λ (T 2 ) of conservative homeomorphisms homotopic to the identity so that the set of points with wild pointwise rotation set is a Baire residual subset in T 2 , and that it carries full topological pressure and full metric mean dimension. Moreover, we prove that for every d ≥ 2 the rotation set of C 0 -generic conser… Show more
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