On the set where the iterates of an entire function are bounded

Details On the set where the iterates of an entire function are bounded On the set where the iterates of an entire function are bounded

2010-12-06

arxiv.org/abs/1012.1279v1

Proc. Amer. Math. Soc. 140 (2012), 847-853

Mathematics

Dynamical Systems

7 pages

Scientific paper

10.1090/S0002-9939-2011-11456-4

We show that for a transcendental entire function the set of points whose
orbit under iteration is bounded can have arbitrarily small positive Hausdorff
dimension.

Affiliated with

Also associated with

No associations

Rating

On the set where the iterates of an entire function are bounded 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 On the set where the iterates of an entire function are bounded, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the set where the iterates of an entire function are bounded will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-168538