Density of the set of endomorphisms with a maximizing measure supported on a periodic orbit

Tatiane Cardoso Batista, Juliano dos Santos Gonschorowski, Fabio Armando Tal

Let $M$ be a compact $n$-dimensional Riemanian manifold, End($M$) the set of the endomorphisms of $M$ with the usual ${\mathcal{C}}^0$ topology and $\varphi :M\to \mathbb{R}$ continuous. We…