Talk:External ray: Difference between revisions

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	This article is within the field of Chaos theory.

More

I think that there is opportunity to add more to this page, especially around some concepts such as $\Psi _{c}$ 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)[reply]

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)[reply]

Images

I have put the images into the gallery template, to make a more reasonable display. I have removed all the line break HTML tags, which are incompatible with the gallery. Obviously someone who is familiar with the details should tidy up those captions now. Charles Matthews 22:07, 29 September 2007 (UTC)[reply]

Now white lines are hard to see, I should change the color --Adam majewski 20:23, 30 September 2007 (UTC)[reply]

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+{{Sys rating|class=start|importance=mid|field=Chaos theory}}
+== More ==
 I think that there is opportunity to add more to this page, especially around some concepts such as <math>\Psi_c</math> 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.