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Smooth linearization of nonautonomous dynamics under polynomial behaviour
Lucas Backes, Davor Dragicevic, Wenmeng Zhang
The main purpose of this paper is to formulate new conditions for smooth linearization of nonautonomous systems with discrete and continuous time. Our results assume that the linea…
Almost Sure Invariance Principle for Random Distance Expanding Maps with a Nonuniform Decay of Correlations
Davor Dragicevic, Yeor Hafouta
We prove a quenched almost sure invariance principle for certain classes of random distance expanding dynamical systems which do not necessarily exhibit uniform decay of correlatio…
Admissibility and general dichotomies for evolution families
Davor Dragicevic, Nevena Jurcevic Pecek, Nicolae Lupa
For an arbitrary noninvertible evolution family on the half-line and for in a large class of rate functions, we consider the notion of a -di…
Quasi-shadowing for partially hyperbolic dynamics on Banach spaces
Lucas Backes, Davor Dragicevic
A partially hyperbolic dynamical system is said to have the quasi-shadowing property if every pseudotrajectory can be shadowed by a sequence of points such that $…
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…
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…