Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11016087 | Stochastic Processes and their Applications | 2018 | 23 Pages |
Abstract
In this paper, we prove a slight, but practically useful, generalisation of a criterion on asymptotic stability for Markov e-chains by T. Szarek, which is based on the so-called lower bound technique, developed by A. Lasota and J. York. Simultaneously, we present an alternative proof of this theorem using an asymptotic coupling method introduced by M. Hairer. Our main result is illustrated by an application to random iterated function systems, which are not contracting on average.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Dawid Czapla,