Pregled bibliografske jedinice broj: 950162
Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles
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 (međunarodna recenzija, članak, znanstveni)
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Naslov
Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles
Autori
Backes, Lucas ; Dragičević, Davor
Izvornik
Annales Academiae scientiarum fennicae-mathematica (1239-629X) 44
(2019), 1;
183-209
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Semi-invertible operator cocycles, Lyapunov exponents, periodic points, approximation
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Davor Dragičević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Mathematical Reviews