Law of the Iterated Logarithm for some Markov operators

Abstract

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 A. Lasota and M.C. Mackey, J. Math. Biol. (1999).

23 pages

References in corpus (1)

• Exponential rate of convergence for some Markov operators

Cited by in corpus (2)

• Limit Theorems for Some Markov Operators
• The Strassen Invariance Principle for Certain Non-stationary Markov-Feller Chains