2 papers
math.DS2024
Unifying topological entropy notions for piecewise continuous maps on the interval
A. E. Calderón, E. Villar-Sepúlveda
We generalize the definition of topological entropy given by Adler, Konheim, and McAndrew (AKM) for piecewise continuous self-maps defined on a compact interval (pc-maps). For this…
math.DS2023
Piecewise contracting maps on the interval: Hausdorff dimension, entropy and attractors
A. E. Calderón, E. Villar-Sepúlveda
We consider the attractor of a piecewise contracting map defined on a compact interval. If is injective, we show that it is possible to estimate the topological entropy…