Three video lectures by Devaney on complex maps

[BradC]

Videos of three nice lectures by Robert Devaney on the dynamics of complex maps are available here:

http://www.globalpres.com/mediasite/Catalog/pages/catalog.aspx?catalogId=00282ad2-f5b5-4991-a75e-d4ac72b6196e&folderId=48820f4c-94dd-4827-b33d-84d3b5fcee1c

The first lecture is on the Mandelbrot set, the second is on iterated exponential maps, and the third is on iterated rational maps.

[jehovajah]

Thanks for posting these Brad.

Microsoft silverlight is required to see them so you may have to swap browsers to download it for your computer.

I can recommend them as engaging, informative, and introductory.
He skips over the more esoteric stuff to zero in on things we generally might be interested in.

I have just finished listening and watching the first one, and it has helped me clarify the subtle distinction between julia and mandelbrot. Even he finds it slippery to get across, but that is not a big issue cos you have great pictures to orient you!

[jehovajah]

Ok so Lecture 2 is a lot more Technical, which is because the mathematical analysis is more technical, and perhaps not many people have had exposure to such media manipulation! in this case it is the behaviour of certain curves and conditions abstracly related through a graphical control.

Then when he talks about longer than infinity you know that you have to be in a very special place to say such a thing!
No , i do not suppose he is mad, just that we so limit ourselves unnecessarily.

And finally hard to see but the underlying double mandebrot.

[jehovajah]

Ok so i watched the third video about Serpinkski.

This is not really a video explaining why mathematicians are lonely people!

Nor does it explain why a mathematician is likely to be very prolix or very terse!

However to be serious, this is the hardest of the three but the most explanatory of the mandelbulb  patterning!

Just look at the pictures and identify the shapes on the sine or cosine mandelbulb, and then try to listen a little bit to what he is saying.

You are going to have to watch this video several times, with a mandelbulb nearby, then this gives a kind of topography or geography of the mandelbulb.

Obviously this is very very technical, but it will reward a little effort if you want to orient yourself on the mandelbulb.

[jehovajah]

Quasz has enabled me to produce these 3d versions of Devaney's rational map for n=2 and lambda small.

Also you may note i have finally started to explore how to use the pallette!

.This image shows the Fatou set using a julia iteration. When lambda is zero the Fatou set is a sphere.

. This is a close up of the region i am going to ger 2 detailed images from. The connected structure only becomes apparrent now, as at the larger scale the image looked"dusty". I really can not reccomend Terry's work enough! For a quick render with this much detail and contour  i cannot expect much more!
Well when i look and see the Menge like sponge grid with cantor like dust inside i know both Devaney and Gintz got something right!

I did wonder what these were until i remembered Devaney said there were embedded rabbits ears. mandelbrots etc. You can see them kind of poking out, but at this resolution not much can be done to employ contrast and shadow etc. Still, they are wonderfully clear enough to identify.

[kek]

Videos of three nice lectures by Robert Devaney on the dynamics of complex maps are available here:

http://www.globalpres.com/mediasite/Catalog/pages/catalog.aspx?catalogId=00282ad2-f5b5-4991-a75e-d4ac72b6196e&folderId=48820f4c-94dd-4827-b33d-84d3b5fcee1c

The first lecture is on the Mandelbrot set, the second is on iterated exponential maps, and the third is on iterated rational maps.

I've seen them all, they're amazing! I love this fractal mathematical chitchat. Thinking about using it in a new movie. It's so inspiring.