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Can they be described as low entropy despite their complexity?

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- #1

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Can they be described as low entropy despite their complexity?

- #2

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- #3

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Ok I should clarify, I'm referring to entropy in the information theory sense of the word, not the thermodymamic sense.

To illustrate the concept, a chess board where the squares on the top half are all black and the bottom half are all white can be described with little information and hence is a low entropy configuration. A chess board where the colour of each square was decided by the toss of a coin would likely be high entropy and take more information to accurately describe.

I ask the question on fractals as fractals are produced by iterations of a simple process and so should be low entropy, and yet they might be viewed as highly complex.

- #4

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If course, the trick is to be able to do the opposite. Take a complex sequence and then discover a simple way to express it. That would be the goal of fractal compression. http://en.wikipedia.org/wiki/Fractal_compression

- #5

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If course, the trick is to be able to do the opposite. Take a complex sequence and then discover a simple way to express it. That would be the goal of fractal compression. http://en.wikipedia.org/wiki/Fractal_compression

That's interesting, I wonder macro economic data could be compressed via this method and then somehow used to predict price changes?

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- #7

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I only saw the options under the physics heading- this forum is bigger than I thought!

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