Examples of minimal diffeomorphisms on 𝕋² semiconjugate to an ergodic translation

• Autorzy: Alejandro Passeggi , Martín Sambarino
• Języki publikacji: EN

Abstrakty

EN

We prove that for every ϵ > 0 there exists a minimal diffeomorphism f: 𝕋² → 𝕋² of class $C^{3-ϵ}$ and semiconjugate to an ergodic translation with the following properties: zero entropy, sensitivity to initial conditions, and Li-Yorke chaos. These examples are obtained through the holonomy of the unstable foliation of Mañé's example of a derived-from-Anosov diffeomorphism on 𝕋³.

Kategorie tematyczne

• 37E30: Homeomorphisms and diffeomorphisms of planes and surfaces
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2013
• Tom: 222
• Numer: 1
• Strony: 63-97

Daty

wydano

2013

Twórcy

autor

Alejandro Passeggi

• Institut für Analysis, TU-Dresden, Zellescher Weg 12-14, Room C34, Dresden, Germany

autor

Martín Sambarino

• CMAT, Facultad de Ciencias, Universidad de la República, Uruguay, Igua 4225 esq. Mataojo, Montevideo, Uruguay

Identyfikatory

DOI

10.4064/fm222-1-4