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

• Autorzy: Tatiane Cardoso Batista , Juliano dos Santos Gonschorowski , Fabio Armando Tal
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37D35: Thermodynamic formalism, variational principles, equilibrium states
• 37A05: Measure-preserving transformations
• 37B10: Symbolic dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 231
• Numer: 1
• Strony: 93-99

Daty

wydano

2015

Twórcy

autor

Tatiane Cardoso Batista

• Universidade Tecnológica Federal do Paraná, 85053-525 Guarapuava, Brazil

autor

Juliano dos Santos Gonschorowski

• Universidade Tecnológica Federal do Paraná, 85053-525 Guarapuava, Brazil

autor

Fabio Armando Tal

• Instituto de Matemática e Estatística, Universidade de São Paulo, 05508-090 São Paulo, Brazil

Identyfikatory

DOI

10.4064/fm231-1-6