57 citations · 320 across the 46 of their papers we have counts for
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Almost sure invariance principle for random dynamical systems via Gouëzel 's approach
Davor Dragičević, Yeor Hafouta
We extend the spectral approach of S. Gouëzel for the vector-valued almost sure invariance principle (ASIP) to certain classes of non-stationary sequences with a weaker control ove…
Hyers-Ulam stability for hyperbolic random dynamics
Lucas Backes, Davor Dragicevic
We prove that small nonlinear perturbations of random linear dynamics admitting a tempered exponential dichotomy have a random version of the shadowing property. As a consequence,…
Admissibility and polynomial dichotomies for evolution families
Davor Dragicevic
For an arbitrary evolution family, we consider the notion of a polynomial dichotomy with respect to a family of norms and characterize it in terms of the admissibility property, th…
Shadowing for infinite dimensional dynamics and exponential trichotomies
Lucas Backes, Davor Dragicevic
Let be a sequence of bounded linear maps acting on an arbitrary Banach space and admitting an exponential trichotomy and let be a Lispchitz map f…
Smooth Linearization of Nonautonomous Differential Equations with a Nonuniform Dichotomy
Davor Dragicevic, Weinian Zhang, Wenmeng Zhang
In this paper we give a smooth linearization theorem for nonautonomous differential equations with a nonuniform strong exponential dichotomy. In terms of discretized evolution oper…