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math.DS2017★ 3 cited
The Central Limit Theorem for function systems on the circle
Tomasz Szarek, Anna Zdunik
The Central Limit Theorem for Iterated Functions Systems on the circle is proved. We study also ergodicity of such systems.
math.PR2017
Stability of iterated function systems on the circle
Tomasz Szarek, Anna Zdunik
We prove that any Iterated Function System of circle homeomorphisms with at least one of them having dense orbit, is asymptotically stable. The corresponding Perron-Frobenius opera…