Measure of the Julia Set of the Feigenbaum map with infinite criticality

Details Measure of the Julia Set of the Feigenbaum map with infinite criticality Measure of the Julia Set of the Feigenbaum map with infinite criticality

2007-05-02

arxiv.org/abs/0705.0297v2

Mathematics

General Topology

Scientific paper

We consider fixed points of the Feigenbaum (periodic-doubling) operator whose
orders tend to infinity. It is known that the hyperbolic dimension of their
Julia sets go to 2. We prove that the Lebesgue measure of these Julia sets tend
to zero. An important part of the proof consists in applying martingale theory
to a stochastic process with non-integrable increments.

Affiliated with

Also associated with

No associations

Rating

Measure of the Julia Set of the Feigenbaum map with infinite criticality 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 Measure of the Julia Set of the Feigenbaum map with infinite criticality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Measure of the Julia Set of the Feigenbaum map with infinite criticality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-674917