On the derivative of the Hausdorff Dimension of the Julia sets for z2+c

Abstract

Let d(c) denote the Hausdorff dimension of the Julia set Jc of the polynomial fc(z)=z2+c. We will investigate behavior of the function d(c) when real parameter c tends to a parabolic parameter.

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…