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   From: jim bell <jdb10987@yahoo.com>
   From: Georgi Guninski <guninski@guninski.com>
   On Thu, Aug 03, 2017 at 01:54:06PM -0500, \0xDynamite wrote:
   >> Speaking of cryptography (harhar), I was contemplating an idea to
   >> generate random streams of random numbers using chaos theory (not
   the
   >> first), specifically the logistic equation [3.5x(1-x)], when I came
   >> across the argument
   ([1]http://www.cs.utsa.edu/~wagner/laws/chaos.html)
   >> that such generators are "psuedo-random", but I don't think is true.
   >I would suggest to make a toy implementation say in pari/gp or
   sagemath
   and then evaluate it.
   >There are quantitative estimates how "random" a sequence of bytes is.
   Both as services and standalone applications.
   >IIRC they look for bias, like the rank of matrices over some field.
   >Per rough memories the number Pi failed the crypto randomness test.
   >According to some "there is order in chaos, especially fractals" ;)
   An interesting treatment of the subject:
   [2]http://www2.lbl.gov/Science-Articles/Archive/pi-random.html
                           Jim Bell
   This is a data sheet for a random number generator IC:
   [3]http://www.fdk.com/cyber-e/pdf/HM-RAE001.pdf

References

   1. http://www.cs.utsa.edu/~wagner/laws/chaos.html
   2. http://www2.lbl.gov/Science-Articles/Archive/pi-random.html
   3. http://www.fdk.com/cyber-e/pdf/HM-RAE001.pdf