2 papers
math.DS2025
The interplay of -dichotomy, bounded growth, and spectral properties via growth rate comparisons
Néstor Jara, Claudio A. Gallegos
We investigate the behavior of the dichotomy spectrum of nonautonomous linear systems under general growth rates. By introducing comparison criteria we clarify how -dichotomy an…
math.DS2025
Discrete -dichotomy spectrum: beyond uniformity and new insights
Álvaro Castañeda, Claudio A. Gallegos, Néstor Jara
We develop spectral theorems for nonautonomous linear difference systems, considering different types of -dichotomies, both uniform and nonuniform. In the nonuniform case, intri…