3 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.DS2025
Metric mean dimension, Hölder regularity and Assouad spectrum
Alexandre Baraviera, Maria Carvalho, Gustavo Pessil
Metric mean dimension is a geometric invariant of dynamical systems with infinite topological entropy. We relate this concept with the fractal structure of the phase space and the…
math.DS2025
Metric mean dimension via subshifts of compact type
Gustavo Pessil
We investigate the metric mean dimension of subshifts of compact type. We prove that the metric mean dimensions of a continuous map and its inverse limit coincide, generalizing Bow…