Law of the iterated logarithm for some Markov operators

Author Hille S.; Horbacz K.; Szarek T.; Wojewódka-Ściążko H.
Title Law of the iterated logarithm for some Markov operators
Journal Asymptotic Analysis
Year 2016
Status Published
Volume 97
Issue 1-2
DOI 10.3233/ASY-151344
Abstract <p>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.&nbsp;38 (1999), 241–261].</p>