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math.DS2026
Nonuniform dichotomies via time rescaling
Davor Dragicevic, Cesar M. Silva
We establish characterizations of general nonuniform dichotomies for linear nonautonomous dynamical systems in terms of nonuniform exponential dichotomies of appropriately time-res…
math.DS2025★ 2 cited
Generalized dichotomies via time rescaling
Davor Dragicevic, Cesar M. Silva
For discrete-time nonautonomous linear dynamics and a large class of discrete growth rates , we show that the notion of dichotomy (with respect to a sequence of norms) can b…
math.DS2024
Admissibility and generalized nonuniform dichotomies for nonautonomous Random Dynamical Systems
Davor Dragicevic, Cesar M. Silva, Helder Vilarinho
In this paper, we introduce generalized dichotomies for nonautonomous random linear dynamical systems acting on arbitrary Banach spaces, and obtain their complete characterization…