One of the few papers I'm directly aware of in the space is "Analaysis and improvement of genetic algorithms using concepts from information theory[1]" by John Edward Milton, though it's been quite some time since I read it, and I recall it being a thesis.

The closest thing I can think to refer you to is some of Melanie Mitchell's work. She's written a book entitled "Complexity: A Guided Tour[2]" (Oxford University Press, 2011) which touches on both subjects underneath the umbrella of complexity studies though in separate chapters. This book is best described as popular science and doesn't have many (any) equations at all, so it'll give you only an idea of their relationship. If you contact her directly (I know she's on Twitter), perhaps she can give you more specifics.

I also maintain an open Mendeley group ITBio: Information Theory, Microbiology, Evolution, and Complexity[3] which may be of some tangential help for your search. Unfortunately there are only a few dozen researchers who can function in the worlds of information theory and evolution/biology at the same time.

You might also delve into the work of Stuart Kauffman ("The Origins of Order[4]" (Oxford University Press, 1993), though many serious information theorists refute the direction he takes mathematically as his grounding isn't in information theory itself) or Gregory Chaitin[5] who have some interesting material tangential to the subject. The Santa Fe Institute may also have one or more interesting tangential researchers.

I'm quite interested to see/hear what your or others may come up with in this interesting space.

[1]: https://

[2]: http://

[3]: http://

[4]: http://

[5]: http://

Subsequent addition:

Knowing of your interest in this with relation to financial markets allows some additional references which yuou may want to look into as well. Just a few months ago researcher [Nassim Nicholas Taleb wrote, "INFORMATION THEORY is the new central discipline."][6] This isn't anything new to information theorists,but is interesting in relation to those in the areas of risk, uncertaintly, forecasting, finance, and economics.

First, for an overview, read the recent article [*Economic complexity: A different way to look at the economy* by W. Brian Arthur][7] after which you might want to take a look at any/many of Nassim Nicholas Taleb's books in his [Incerto series][8], though I recommend starting with *[The Black Swan: Second Edition: The Impact of the Highly Improbable: With a new section: On Robustness and Fragility][9]* (and I would definitely recommend the supplemented second edition over the first). It's a non-mathematical best-seller outlining a new philosophical framework for viewing uncertainty in the financial markets. You could then move into some of his more mathematically motivated works, of which I would suggest that you may be able to download some of his unpublished work for free from his Facebook page.

Finally, you can explore the rich literature within economics and complexity including W. Brian Arthur's book [*Complexity and the Economy* (Oxford University Press, 2014)][10] which is mentioned in the above referenced article. The bibliography of this book is sure to be rich with a variety of additional material.

[6]: https://www.facebook.com/13012333374/photos/a.10150109720973375.279515.13012333374/10152488919783375... medium.com/sfi-30-foundations-frontiers/economic-complexity-a-different-way-to-look-at-the-e... www.amazon.com/s/?_encoding=UTF8&camp=1789&creative=390957&field-author=Nassim%20Nicholas%20T... www.amazon.com/gp/product/081297381X/ref=as_li_tl?ie=UTF8&camp=1789&creative=390957&creativeA... www.amazon.com/gp/product/0199334293/ref=as_li_tl?ie=UTF8&camp=1789&creative=390957&creativeA...

[7]: https://

[8]: http://

[9]: http://

[10]: http://

Chris Aldrich, Jan 24 2015 on chrisaldrich.withknown.com