Dynamical systems which realize given random bi-sequences of points on their orbits
In this paper a rather general orbit-realization result is found in the \(C^0\) setting. For suitable compact spaces it is shown that for any bi-infinite sequence of (necessarily) distinct points there is a \(C^0\) map of the space which realizes those points along an orbit. The natural question of the extent to which smooth versions of these results may exist is raised.
scientific article; zbMATH DE number 5918206