After reading, this seems to make a lot of sense.
"Universality is thought to arise when a system is very complex, consisting of many parts that strongly interact with each other to generate a spectrum." By "spectrum" they mean series of data points, separated by time/distance/...
"In many simple systems, individual components can assert too great an influence on the outcome of the system" Read "simple systems" as "models" and this starts to become very interesting. Principle Component Analysis is the first to come to mind.
"Consequently, the unknown matrix that governs the [overly complex] nucleus behaves like a matrix filled with random numbers, and so its spectrum exhibits universality." Wow.
I would love to apply this to the genome, particularly placement of pseudogenes or retrotransposons (LINEs and SINEs).