Displaying similar documents to “Homogenization and ergodic theory”

Density of the set of symbolic dynamics with all ergodic measures supported on periodic orbits

Tatiane Cardoso Batista, Juliano dos Santos Gonschorowski, Fabio Armando Tal (2015)

Fundamenta Mathematicae

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Let K be the Cantor set. We prove that arbitrarily close to a homeomorphism T: K → K there exists a homeomorphism T̃: K → K such that the ω-limit of every orbit is a periodic orbit. We also prove that arbitrarily close to an endomorphism T: K → K there exists an endomorphism T̃: K → K with every orbit finally periodic.