Law of the iterated logarithm for some Markov operators

Autorzy: Hille S.; Horbacz K.; Szarek T.; Wojewódka-Ściążko H.
Czasopismo: Asymptotic Analysis
Rok publikacji: 2016
Status: Opublikowane
Date Published: 03/2016
DOI: 10.3233/ASY-151344
Numer: 1-2
Start Page: 91-112
Tom: 97
Abstrakt: The law of the iterated logarithm for some Markov operators, which converge exponentially to the invariant measure, is established. The operators correspond to iterated function systems which, for example, may be used to generalize the cell cycle model examined by Lasota and Mackey [J. Math. Biol. 38 (1999), 241–261].