Expansion of the spectrum in the weak disorder regime for random   operators in continuum space
  We study the spectrum of random ergodic Schroedinger-type operators in the weak disorder regime. We give upper and lower bounds on how much the spectrum expands at its bottom for very general perturbations. The background operator is assumed to be a periodic elliptic differential operator on R^d, not necessarily of second order. 
Denis Borisov, Francisco Hoecker-Escuti and Ivan Veselic
math.AP math-ph math.MP math.PR math.SP