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I am in search of a research topic and have always been intrigued by the fractals. I have been reading on various theories on fractal compression and modelling the stock market. I found that fractal compression didn't really get anywhere significant and stock market analysis is still pretty young.

Do you guys have any other interesting ideas I regarding scientific research that would include fractals? Can you point me to some interesting sites you might have stumbled upon?

hi milankoko and others,

being new to this forum,
i have written a long reply, but now it disappeared, so, please excuse, i will make it quite short:
Please have a look to fractal neural networks, not just the tree-branching aspect, but where cells of a bubble around zero in a coordinate system will divide, the children-cells will wander along logarithmic spirals to the square roots of these cells, keeping contact during their wandering with their parent cells by their axons, which will follow the course of the correspondant trajectories. You will end up after some iterations with a perfect Julia-or Mandelbrot(possible as well)-network with very elegant and-in my eyes-superior options to detect and process patterns. You could do a first search by items:"fractal neural nets, tomography in fractal neural nets, memory-strings". Published some articles and mostly posters at various occasions, one time got the honour, that the real 3D Mandelbrot himself sat beside me in the audience-room of the conference fractals 2004 in vancouver. He said, I should publish it, now, not really well done til now. Try to give links here:
One to a new mandelbulb-like structure, vegetable-like as well, not so much broccoli, more artichoke-like(more information about the algorithm on youtube):
<a href="http://www.youtube.com/v/CKvcX4oQkak&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/CKvcX4oQkak&rel=1&fs=1&hd=1</a>
the other concerning fractal neural nets, my not serious, more messie-style-homepage, very provisionaire:
http://thomasfractalkromer.de/40318.html

best wishes,
Thomas (vector, trajektorde,trajektorulm)