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

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 ℤd. 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

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