2015/09/02 by Takashi Shimomura, Shimomura, Takashi
Mathematics · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.1509.00619
We show that a zero-dimensional chain transitive dynamical system can be embedded into a densely uniformly chaotic system, with dense uniformly chaotic set K. We concretely construct a Mycielski set K that is also invariant. Furthermore, every point in K is positively and negatively transitive. The uniform proximality and recurrence of K are also bidirectional.