Krzysztof Lech

most citedTotal disconnectedness of Julia sets of random quadratic polynomials

4 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.DS2023

Equilibrium measures on Julia sets of random quadratic polynomials

Krzysztof Lech, Anna Zdunik

We consider sequences of compositions of quadratic polynomials $f_{c_{n}} (z) = z^{2} + c_{n}$ . For such sequences one can naturally generalize the definitions of the Julia set and basin…

math.DS2020

Julia sets of random exponential maps

Krzysztof Lech

For a sequence $(λ_{n})$ of positive real numbers we consider the exponential functions $f_{λ_{n}} (z) = λ_{n} e^{z}$ and the compositions $F_n = f_{λ_n} \circ f_{λ_{n-1}} \circ ... \circ…

math.DS2020★ 4 cited

Total disconnectedness of Julia sets of random quadratic polynomials

Krzysztof Lech, Anna Zdunik

For a sequence of complex parameters ${c_{n}}$ we consider the compositions of functions $f_{c_{n}} (z) = z^{2} + c_{n}$ , which is the non-autonomous version of the classical quadratic d…