Title: Algebraic Geometry of Discrete Dynamics. Post by: web2k 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 ??? 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. Web 2k Title: Re: Algebraic Geometry of Discrete Dynamics. Post by: cKleinhuis 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 ... ::) |