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Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles (CROSBI ID 253721)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Backes, Lucas ; Dragičević, Davor Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles // Annales Academiae scientiarum Fennicae. Mathematica, 44 (2019), 1; 183-209. doi: 10.5186/aasfm.2019.4410

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

Povezanost rada

Matematika

Poveznice
Indeksiranost