Pregled bibliografske jedinice broj: 847483
Limit theorems for random Lasota-Yorke maps using the spectral method
Limit theorems for random Lasota-Yorke maps using the spectral method // Advances in Ergodic Theory, Hyperbolic Dynamics & Statistical Laws
Canberra, Australija, 2016. (pozvano predavanje, nije recenziran, sažetak, ostalo)
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Naslov
Limit theorems for random Lasota-Yorke maps using the spectral method
Autori
Dragičević, Davor
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo
Skup
Advances in Ergodic Theory, Hyperbolic Dynamics & Statistical Laws
Mjesto i datum
Canberra, Australija, 28.11.2016. - 02.12.2016
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
limit theorems; random dynamical systems
Sažetak
The so-called Nagaev-Guivarc’h spectral method is one of the most powerful tools in establishing limit theorems and has been successfully applied in various situations including Markov chains and dynamical systems. In the standard deterministic setting the method consists of finding an appro- priate Banach space on which the transfer opera- tor has a spectral gap and then applying various results from the perturbation theory of linear op- erators. In this talk, I will discuss an ongoing research project which aims to extend this method to the random case. We will also explain how the multi- plicative ergodic theorem naturally appears in this setting. This is a joint work with G. Froyland, C. Gonz ́alez Tokman and S. Vaienti.
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)
Profili:
Davor Dragičević
(autor)
