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math.DS2020★ 4 cited
Total disconnectedness of Julia sets of random quadratic polynomials
Krzysztof Lech, Anna Zdunik
For a sequence of complex parameters we consider the compositions of functions , which is the non-autonomous version of the classical quadratic d…
math.DS2020
On Hausdorff dimension of polynomial not totally disconnected Julia sets
Feliks Przytycki, Anna Zdunik
We prove that for every polynomial of one complex variable of degree at least 2 and Julia set not being totally disconnected nor a circle, nor interval, Hausdorff dimension of this…