2 papers
math.DS2020
Ergodicity and central limit theorem for random interval homeomorphisms
Klaudiusz Czudek, Tomasz Szarek
The central limit theorem for Markov chains generated by iterated function systems consisting of orientation preserving homeomorphisms of the interval is proved. We study also ergo…
math.DS2020
Alsedà-Misiurewicz systems with place-dependent probabilities
Klaudiusz Czudek
We consider systems of two specific piecewise linear homeomorphisms of the unit interval, so called the Alsedà-Misiurewicz systems, and investigate the basic properties of Markov c…