$C1$-Genericity of Symplectic Diffeomorphisms and Lower Bounds for Topological Entropy

Thiago Catalan, Vanderlei Horita

There is a $C^1$-residual (Baire second class) subset $\mathcal{R}$ of symplectic diffeomorphisms on $2d$-dimensional manifold, $d\ge 1$, such that for every non-Anosov $f$ in $\m…