2 papers
math.DS2026
On quantization and the classical variational principle for the metric mean dimension
Maria Carvalho, Gustavo Pessil
This paper investigates the relationship between quantization of measures and metric mean dimension of topological dynamical systems. We introduce the concept of mean quantization…
math.DS2026
Dynamical metric order
Maria Carvalho, Fagner B. Rodrigues
We introduce the notion of dynamical metric order of a continuous map on a compact metric space, study its basic properties, and compute it for several classes of maps. This concep…