Pregled bibliografske jedinice broj: 847482
Limit theorems for deterministic and random Lasota-Yorke maps using the spectral method
Limit theorems for deterministic and random Lasota-Yorke maps using the spectral method // Dynamical Systems Workshop
Brisbane, Australija, 2016. (pozvano predavanje, nije recenziran, sažetak, ostalo)
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Naslov
Limit theorems for deterministic and random Lasota-Yorke maps using the spectral method
Autori
Dragičević, Davor
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo
Skup
Dynamical Systems Workshop
Mjesto i datum
Brisbane, Australija, 25.11.2016
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. We will first give an outline of this method in the classical deterministic setting where one deals with a single piecewise expanding map. After that I will give an overview of the ongoing research project which aims to extend this method to the random case. We will also explain how the multiplicative ergodic theorem naturally appears in this setting. This is a joint work with G. Froyland, C. Gonzalez 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)