Ergodic random walk

How general are our results From a stochastic point of view ergodicity breaking, Levy statistics, anomalous diffusion, aging, and fractional calculus, are all related. In particular ergodicity breaking is found in other models with power-law distributions, related to the underlying stochastic model (the Levy walk). For example, the well known continuous time random walk model also... 

G. Bel and E. Barkai, Weak ergodicity breaking in the continous-time random walk, Phys. Rev. Left. 94 240602 (2005). 

---