Alsedà–Misiurewicz systems with place-dependent probabilities*
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Oct 08, 2020
- Source ID
- 10.1088/1361-6544/aba094
Entities
People
- Klaudiusz Czudek
Organizations
- Ministry of Science and Higher Education