Talk:External ray
I think that there is opportunity to add more to this page, especially around some concepts such as being an inverse "reciprocal" Böttcher Isomorphism (by reciprocal, I just mean moving the point at infinity to one at zero through a conformal isomorphism). Furthermore, some extra concepts such as the landing of dynamic rays (always landing on polynomial Julia Sets for instance) would be interesting, as these are some of the more interesting areas of External Ray theory. Referencing Milnor's Dynamics in One Complex Variable is probably a good one, very good book in this and a lot of other areas. Also, there are a lot of good papers on the surrounding topics - see for example Asterisque 261, 2000 for a couple of good papers, one by Milnor exploring external rays in general, and one by Schleicher on the Rational Parameter Rays of the Mandelbrot Set.
Anyway, I think this page is worth a look, and I'll look myself after my exams are over and my 3rd year essay is in (on, surprise surprise, external rays and Böttcher's Theorem). JebJoya 15:09, 22 April 2007 (UTC)
Yes. Great idea. I think that also should be:
- page about Lucjan E Boettcher (1872 - ? )
- computing and drawing of external rays ( especially with algorithm in pseudocode)
- Jungreis algorithm
- and many more
Adam majewski 07:09, 26 April 2007 (UTC)