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Pregled bibliografske jedinice broj: 1136725

Almost sure invariance principle for random dynamical systems via Gouezel's approach


Dragičević, Davor; Hafouta, Yeor
Almost sure invariance principle for random dynamical systems via Gouezel's approach // Nonlinearity, 34 (2021), 10; 6773-6798 doi:10.1088/1361-6544/ac14a1 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1136725 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Almost sure invariance principle for random dynamical systems via Gouezel's approach

Autori
Dragičević, Davor ; Hafouta, Yeor

Izvornik
Nonlinearity (0951-7715) 34 (2021), 10; 6773-6798

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
almost sure invariance principle ; random dynamical systems

Sažetak
We extend the spectral approach of S. Gou\"ezel for the vector-valued almost sure invariance principle (ASIP) to certain classes of non- stationary sequences with a weaker control over the behavior of the covariance matrices, assuming only linear growth. Then we apply this extension to obtain a quenched vector-valued ASIP for random perturbations of a fixed Anosov diffeomorphism as well as random perturbations of a billiard map associated to the periodic Lorentz gas. We also consider certain classes of random piecewise expanding maps.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2019-04-1239 - Operatori pomaka, statistički zakoni i beskonačno-dimenzionalni dinamički sustavi (TOSLDS) (Dragičević, Davor, HRZZ - 2019-04) ( CroRIS)

Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku

Profili:

Avatar Url Davor Dragičević (autor)

Poveznice na cjeloviti tekst rada:

doi iopscience.iop.org

Citiraj ovu publikaciju:

Dragičević, Davor; Hafouta, Yeor
Almost sure invariance principle for random dynamical systems via Gouezel's approach // Nonlinearity, 34 (2021), 10; 6773-6798 doi:10.1088/1361-6544/ac14a1 (međunarodna recenzija, članak, znanstveni)
Dragičević, D. & Hafouta, Y. (2021) Almost sure invariance principle for random dynamical systems via Gouezel's approach. Nonlinearity, 34 (10), 6773-6798 doi:10.1088/1361-6544/ac14a1.
@article{article, author = {Dragi\v{c}evi\'{c}, Davor and Hafouta, Yeor}, year = {2021}, pages = {6773-6798}, DOI = {10.1088/1361-6544/ac14a1}, keywords = {almost sure invariance principle, random dynamical systems}, journal = {Nonlinearity}, doi = {10.1088/1361-6544/ac14a1}, volume = {34}, number = {10}, issn = {0951-7715}, title = {Almost sure invariance principle for random dynamical systems via Gouezel's approach}, keyword = {almost sure invariance principle, random dynamical systems} }
@article{article, author = {Dragi\v{c}evi\'{c}, Davor and Hafouta, Yeor}, year = {2021}, pages = {6773-6798}, DOI = {10.1088/1361-6544/ac14a1}, keywords = {almost sure invariance principle, random dynamical systems}, journal = {Nonlinearity}, doi = {10.1088/1361-6544/ac14a1}, volume = {34}, number = {10}, issn = {0951-7715}, title = {Almost sure invariance principle for random dynamical systems via Gouezel's approach}, keyword = {almost sure invariance principle, random dynamical systems} }

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


Citati:





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