Nice sets and invariant densities in complex dynamics

Details Nice sets and invariant densities in complex dynamics Nice sets and invariant densities in complex dynamics

2009-02-18

arxiv.org/abs/0902.3140v3

Math. Proc. Camb. Phil. Soc. 150, No. 1, 157-165 (2011)

Mathematics

Dynamical Systems

11 pages, Lemma 10 was, ahem, missing. Other than that, it's just a lot cleaner

Scientific paper

In complex dynamics, we construct a so-called nice set (one for which the first return map is Markov) around any point which is in the Julia set but not in the post-singular set, adapting a construction of Juan Rivera-Letelier. This simplifies the study of absolutely continuous invariant measures. We prove a converse to a recent theorem of Kotus and Swiatek, so for a certain class of meromorphic maps the absolutely continuous invariant measure is finite if and only if an integrability condition is satisfied.

Affiliated with

Also associated with

No associations

Rating

Nice sets and invariant densities in complex dynamics 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 Nice sets and invariant densities in complex dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nice sets and invariant densities in complex dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-128371