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chaotic vs random functions

daemon@ATHENA.MIT.EDU (Julian Assange)
Fri Dec 12 18:31:00 1997

Date: 12 Dec 1997 05:26:20 -0000
From: Julian Assange <proff@iq.org>
To: coderpunks@toad.com, cryptography@c2.net


I'm looking for a chaotic (seeded) iterative function, that has
the following property:

	Presume that the output of our function f is normalised into
	the ranges +/- 1. It is not predictable over i iterations
	of the function (and i is large, say a few billion) whether
	the average of outputs to that point is close to zero. i.e
	there is no faster way to determine the average of outputs of
	f over period i iterations without conducting all i
        iterations. It's reasonable for the average output of f to
	"tend to the average" as i grows large, but I'd like
	"long periods" of unpredictably non-random behavior.

Cheers,
Julian.

-- 
Prof. Julian Assange  |If you want to build a ship, don't drum up people
                      |together to collect wood and don't assign them tasks
proff@iq.org          |and work, but rather teach them to long for the endless
proff@gnu.ai.mit.edu  |immensity of the sea. -- Antoine de Saint Exupery

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