researchgate.net/publication/33…
using Ising Model, at criticality statistical moments go crazy... so, is it all about fat-tails?
at criticality systems are non-ergodic, they have "memory" but not too much. So complexity is a middle ground between ergodic and non-ergodic?
near a critical point in which regulation is lost (Daisy world model) statistical moments go wild (i.e. much more frequent extreme temperature events)