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Author Topic: Algebraic Geometry of Discrete Dynamics.  (Read 1480 times)
Description: This paper is devoted to the structure of Mandelbrot set
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web2k
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« on: March 23, 2008, 03:00:23 PM »

http://lanl.arxiv.org/abs/hep-th/0501235

Algebraic Geometry of Discrete Dynamics. The case of one variable
Authors: V.Dolotin, A.Morozov

This paper and related papers at the Los Alamos National archive in the sections for High Energy Physics Theory huh? discuss mathematics of the Mandelbrot and Julia Sets at a level of math I hardly understand.  Hopefully one of the members of this forum can help bridge some of the gaps.

I found his schematics of the structure of the Mandelbrot set quite intriguing.  They relate to my own musing about how to show the scaling invariant nature of the M-set as based on restarting the interations after translation, scaling and rotation of the orign.

In any case, I thought this group should become aware of the work--especially when it is archived in such an unusual place.

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cKleinhuis
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« Reply #1 on: March 24, 2008, 02:57:15 AM »

hmm, interesting paper you found there   police

as far as i can see they are defining a mathematical way to determine the bifurcation behaviour of a chaotic system, but have only read the introduction yet ...   :smiley
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divide and conquer - iterate and rule - chaos is No random!
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