Quantum site percolation on amenable graphs
classification
🧮 math-ph
math.MPmath.SP
keywords
amenablegraphspercolationquantumsiteactionassociatedbasic
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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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