The trimmed Anderson model at strong disorder: localisation and its   breakup
  We explore the properties of discrete random Schroedinger operators in which the random part of the potential is supported on a sub-lattice. In particular, we provide new conditions on the sub-lattice under which Anderson localisation happens at strong disorder, and provide examples in which it can be ruled out. 
Alexander Elgart, Sasha Sodin
math-ph math.MP