Examples of Feigenbaum Julia sets with small Hausdorff dimension

Details Examples of Feigenbaum Julia sets with small Hausdorff dimension Examples of Feigenbaum Julia sets with small Hausdorff dimension

2004-07-05

arxiv.org/abs/math/0407066v1

Mathematics

Dynamical Systems

13 pages

Scientific paper

We give examples of infinitely renormalizable quadratic polynomials $F_c: z\maps to z^2+c$ with stationary combinatorics whose Julia sets have Hausdorff dimension arbitrar y close to 1. The combinatorics of the renormalization involved is close to the Chebyshev one . The argument is based upon a new tool, a ``Recursive Quadratic Estimate'' for the Poincar\'e series of an infinitely re normalizable map.

Affiliated with

Also associated with

No associations

Rating

Examples of Feigenbaum Julia sets with small Hausdorff dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Examples of Feigenbaum Julia sets with small Hausdorff dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Examples of Feigenbaum Julia sets with small Hausdorff dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-72931