Quantum site percolation on amenable graphs

Details Quantum site percolation on amenable graphs Quantum site percolation on amenable graphs

2003-08-28

arxiv.org/abs/math-ph/0308041v2

Physics

Mathematical Physics

10 pages, LaTeX 2e, to appear in "Applied Mathematics and Scientific Computing", Brijuni, June 23-27, 2003. by Kluwer publishe

Scientific paper

We consider the quantum site percolation model on graphs with an amenable
group action. It consists of a random family of Hamiltonians. Basic spectral
properties of these operators are derived: non-randomness of the spectrum and
its components, existence of an self-averaging integrated density of states and
an associated trace-formula.

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