Another example, even more recent there was a discovery about correlated novelties and both Heap's and Zipf's law: http://www.nature.com/srep/2014/140731/srep05890/full/srep05.... Different from the normal distribution which indeed just comes from the law of large numbers (central limit theorem), these come from much more interesting processes.

You can have all kind of distributions and all kind of power-law like behaviour around complex systems. It is henceforth extremely important to weed out all the nonsense. To be able to deduct what kind of microscopic relations bring about Tracy-Widom distributions especially in the context of other mathematical objects than random matrix brings lots of disciplines forwards. From physics to machine learning.