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Pregled bibliografske jedinice broj: 950162

Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles


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 (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:

Avatar Url Davor Dragičević (autor)

Poveznice na cjeloviti tekst rada:

doi www.acadsci.fi doi.org

Citiraj ovu publikaciju:

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 (međunarodna recenzija, članak, znanstveni)
Backes, L. & Dragičević, D. (2019) Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles. Annales Academiae scientiarum fennicae-mathematica, 44 (1), 183-209 doi:10.5186/aasfm.2019.4410.
@article{article, author = {Backes, Lucas and Dragi\v{c}evi\'{c}, Davor}, year = {2019}, pages = {183-209}, DOI = {10.5186/aasfm.2019.4410}, keywords = {Semi-invertible operator cocycles, Lyapunov exponents, periodic points, approximation}, journal = {Annales Academiae scientiarum fennicae-mathematica}, doi = {10.5186/aasfm.2019.4410}, volume = {44}, number = {1}, issn = {1239-629X}, title = {Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles}, keyword = {Semi-invertible operator cocycles, Lyapunov exponents, periodic points, approximation} }
@article{article, author = {Backes, Lucas and Dragi\v{c}evi\'{c}, Davor}, year = {2019}, pages = {183-209}, DOI = {10.5186/aasfm.2019.4410}, keywords = {Semi-invertible operator cocycles, Lyapunov exponents, periodic points, approximation}, journal = {Annales Academiae scientiarum fennicae-mathematica}, doi = {10.5186/aasfm.2019.4410}, volume = {44}, number = {1}, issn = {1239-629X}, title = {Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles}, keyword = {Semi-invertible operator cocycles, Lyapunov exponents, periodic points, approximation} }

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


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