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math.DS2026
Periodic approximation of Lyapunov exponents for cocycles admitting invariant holonomies
Lucas Backes, Breno Rilho Lemos, Breno Rocha
Classical results establish that the Lyapunov exponents of an ergodic measure for linear cocycles over hyperbolic systems can be approximated by the Lyapunov exponents of periodic…
math.DS2026
Smooth linearization of nonautonomous dynamics under general dichotomic 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…