A Landing Theorem for Periodic Rays of Exponential Maps

Details A Landing Theorem for Periodic Rays of Exponential Maps A Landing Theorem for Periodic Rays of Exponential Maps

2003-07-29

arxiv.org/abs/math/0307371v4

Proc. Amer. Math. Soc. 134 (2006), 2639-2648.

Mathematics

Dynamical Systems

10 pages, 2 figures // V4. Final Version - figures and references have been updated

Scientific paper

10.1090/S0002-9939-06-08287-6

We answer a question of Schleicher by showing that, for an exponential map
with nonescaping singular value, every periodic ray lands. This is an analog of
a theorem of Douady and Hubbard concerning polynomials. We also prove a partial
converse: there are periodic external rays landing at all periodic points, with
the exception of at most one periodic orbit.

Affiliated with

Also associated with

No associations

Rating

A Landing Theorem for Periodic Rays of Exponential Maps 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 A Landing Theorem for Periodic Rays of Exponential Maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Landing Theorem for Periodic Rays of Exponential Maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-551