Criticality in Brownian ensembles
  The local statistical fluctuations in Brownian ensembles, the intermediate state of perturbation of one classical ensemble by another one, are system-size invariant if the perturbation parameter has the same size-dependence as that of the ensemble averaged local level density. The sensitivity to local spectral density however makes the measures for the critical statistics non-stationary along the spectrum. 
Suchetana Sadhukhan and Pragya Shukla
cond-mat.stat-mech