Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles (CROSBI ID 253721)
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Podaci o odgovornosti
Backes, Lucas ; Dragičević, Davor
engleski
Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles
We prove that for semi-invertible and H\" {; ; ; o}; ; ; lder continuous linear cocycles $A$ acting on an arbitrary Banach space and defined over a base space that satisfies the Anosov Closing Property, all exceptional Lyapunov exponents of $A$ with respect to an ergodic invariant measure for base dynamics can be approximated with Lyapunov exponents of $A$ with respect to ergodic measures supported on periodic orbits. Our result is applicable to a wide class of infinite-dimensional dynamical systems.
Semi-invertible operator cocycles, Lyapunov exponents, periodic points, approximation
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Podaci o izdanju
44 (1)
2019.
183-209
objavljeno
1239-629X
1798-2383
10.5186/aasfm.2019.4410