Abstract
Abstract
We consider systems of two specific piecewise linear homeomorphisms of the unit interval, so called Alsedà–Misiurewicz systems, and investigate the basic properties of Markov chains which arise when these two transformations are applied randomly with probabilities depending on the point of the interval. Though this iterated function system is not contracting in average and known methods do not apply, stability and the strong law of large numbers are proven.
Funder
Ministerstwo Nauki i Szkolnictwa Wyższego
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Reference43 articles.
1. Random interval homeomorphisms;Alsedá;Publ. Mat.,2014
2. Singular stationary measures for random piecewise affine interval homeomorphisms;Barański;J. Dyn. Diff. Equ.,2019
3. Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities;Barnsley;Ann. Inst.Henri Poincaré B,1988
4. Erratum to: “Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities”;Barnsley;Ann. Inst.Henri Poincaré B,1989
5. Iterated function systems and the global construction of fractals;Barnsley;Proc. R. Soc. A,1985
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献