Devils staircase like behavior of the range of random time series   associated with the tangled nature of evolution
  We present empirical evidence that the range of random time series associated with the tangled nature model of evolution exhibits a devils staircase like behavior characterized by logarithmic trend and the universal multi-affine spectrum of scaling exponents xi_c of q leq q_c moments of q-order height-height correlations, whereas for q > q_c the moments behaves logarithmically. 
Alexander S. Balankin, M. Oswaldo Morales