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 (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: http://www2.lbl.gov/Science-Articles/Archive/pi-random.html Jim Bell This is a data sheet for a random number generator IC: http://www.fdk.com/cyber-e/pdf/HM-RAE001.pdf