Quadratic Julia Sets with Positive Area
classification
🧮 math.DS
keywords
presencejuliapositivequadraticareacasescremerdisk
read the original abstract
We prove the existence of quadratic polynomials having a Julia set with positive Lebesgue measure in three cases: the presence of a Cremer fixed point, the presence of a Siegel disk, the presence of infinitely many (satellite) renormalizations.
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