1207.2445 (Slim Ayadi et al.)

Uniform existence of the integrated density of states for randomly
weighted Hamiltonians on long-range percolation graphs    [PDF]

Slim Ayadi, Fabian Schwarzenberger, Ivan Veselic

In this paper we consider random Hamiltonians defined on long-range percolation graphs over $\ZZ^d$. The Hamiltonian consists of a randomly weighted Laplacian plus a random potential. We prove uniform existence of the integrated density of states and express the IDS using a Pastur-Shubin trace formula.

View original: http://arxiv.org/abs/1207.2445