Slim Ayadi, Fabian Schwarzenberger, Ivan Veselić: Uniform existence of the IDS for randomly weighted Laplacians on long range percolation graphs

Author(s):

Slim Ayadi
Fabian Schwarzenberger
Ivan Veselić

Title:

Slim Ayadi, Fabian Schwarzenberger, Ivan Veselić: Uniform existence of the IDS for randomly weighted Laplacians on long range percolation graphs

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 09, 2013

Mathematics Subject Classification:

60G10	[]
60G30	[]
60G50	[]
82B44	[]

Abstract:

In this paper we consider random Hamiltonians defined on long-range percolation graphs over ℤ^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.

Keywords:

Language:

English

Publication time:

06/2013