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 ergodicity of such systems.

中文翻译：

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随机区间同胚的遍历性和中心极限定理

证明了由区间的保向同胚组成的迭代函数系统生成的马尔可夫链的中心极限定理。我们还研究了此类系统的遍历性。