Submitted by ims_edit on Fri, 02/05/2021 - 14:24
preprint-id:
ims15-08
preprint-title:
Lebesgue measure of Feigenbaum Julia sets
preprint-abstract:
We construct Feigenbaum quadratic polynomials whose Julia sets have positive Lebesgue measure. They provide first examples of rational maps for which the hyperbolic dimension is different from the Hausdorff dimension of the Julia set. The corresponding set of parameters has positive Hausdorff dimension.
preprint-year:
2015