27 citations · 48 across the 18 of their papers we have counts for
14 papers · 1 filter
Equilibrium states of intermediate entropies
Peng Sun
We explore an approach to the conjecture of Katok on intermediate entropies that based on uniqueness of equilibrium states, provided the entropy function is upper semi-continuous.…
Denseness of intermediate pressures for systems with the Climenhaga-Thompson structures
Peng Sun
We show that systems with the structure introduced by Climenhaga and Thompson have dense intermediate pressures and dense intermediate entropies of ergodic measures. The result app…
Unique ergodicity for zero-entropy dynamical systems with the approximate product property
Peng Sun
We show that for every topological dynamical system with the approximate product property, zero topological entropy is equivalent to unique ergodicity. Equivalence of minimality is…
Zero-entropy dynamical systems with the gluing orbit property
Peng Sun
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…
On the Entropy of Flows with Reparametrized Gluing Orbit Property
Peng Sun
We show that a flow or a semiflow with a weaker reparametrized form of gluing orbit property is either minimal or of positive topological entropy.
Minimality and Gluing Orbit Property
Peng Sun
We show that a topological dynamical system is either minimal or have positive topological entropy. Moreover, for equicontinuous systems, we show that topological transitivity, min…