DENSITY OF THE SET OF ENDOMORPHISMS WITH A MAXIMIZING MEASURE SUPPORTED ON A PERIODIC ORBIT

作者：Batista Tatiane C^*; Gonschorowski Juliano S; Tal Fabio A

来源：Discrete and Continuous Dynamical Systems, 2015, 35(8): 3315-3326.

DOI：10.3934/dcds.2015.35.3315

• Maximizing measures
• periodic orbits

Let M be a compact n-dimensional Riemanian manifold, End(M) the set of the endomorphisms of M with the usual C-0 topology and phi : M -> R continuous. We prove, extending the main result of [2], that there exists a dense subset of A of End(M) such that, if f epsilon A, there exists a f invariant measure mu(max) supported on a periodic orbit that maximizes the integral of phi among all f invariant Borel probability measures.

• 出版日期2015-8