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taby

Chaotic pseudo-random number generator

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I had some fun making a chaotic pseudo-random number generator (CPRNG) recently. The CPRNG focuses on using a map of multiple variables, similar to the Trident and Trifork projects.

The attached paper is called "Using deterministic n-body dynamics on the unit m-sphere in order to implement a toy chaotic pseudo-random number generator". The logistic map gets a really harsh beating in this paper, and I felt bad about that, so I wrote up two other simple follow up papers that focus on some of the good things about the logistic map: "Entropy and the individual iterations of the logistic map" and "Vertex-only bifurcation diagrams are deceptively simple".

As far as I know, the CPRNG is pretty novel work. The other two papers... who knows.

P.S. There's lots of pictures.
P.P.S. I re-attached the vertex-only bifurcation diagram paper. Sorry. The last paragraph was being a pain. I just made it all about indecision ... mixing.
P.P.P.S. Wow, thanks for the downloads. That's nice of you.

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