Limit Theorems for Some Markov Operators

Abstract

The exponential rate of convergence and the Central Limit Theorem for some Markov operators are established. The operators correspond to iterated function systems which, for example, may be used to generalize the cell cycle model given by Lasota & Mackey (1999).

21 pages

References in corpus (3)

• Spectral gaps in Wasserstein distances and the 2D stochastic Navier--Stokes equations
• Exponential rate of convergence for some Markov operators
• Law of the Iterated Logarithm for some Markov operators

Cited by in corpus (3)

• Ergodic properties of some piecewise-deterministic Markov process with application to gene expression modelling
• A Useful Version of the Central Limit Theorem for a General Class of Markov Chains
• Continuous dependence of an invariant measure on the jump rate of a piecewise-deterministic Markov process