Zero-entropy dynamical systems with the gluing orbit property

Abstract

Under the assumption of the gluing orbit property, equivalent conditions to having zero topological entropy are investigated. In particular, we show that a dynamical system has the gluing orbit property and zero topological entropy if and only if it is minimal and equicontinuous.

19 pages

References in corpus (2)

• Topological and almost Borel Universality for systems with the weak specification property
• Ergodic measures of intermediate entropies for dynamical systems with the approximate product property

Cited by in corpus (1)

• Equilibrium states of intermediate entropies