Anomalous diffusion. A competition between the very large jumps in   physical and operational times
  In this paper we analyze a coupling between the very large jumps in physical and operational times as applied to anomalous diffusion. The approach is based on subordination of a skewed Levy-stable process by its inverse to get two types of operational time - the spent and the residual waiting time, respectively. The studied processes have different properties which display both subdiffusive and superdiffusive features of anomalous diffusion underlying the two-power-law relaxation patterns. 
Aleksander Stanislavsky and Karina Weron
cond-mat.stat-mech physics.data-an