Spectra of random operators with absolutely continuous integrated density of states

The structure of the spectrum of random operators is studied. It is shown that if the density of states measure of some subsets of the spectrum is zero, then these subsets are empty. In particular follows that absolute continuity of the integrated density of states implies singular spectra of ergodi...

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Veröffentlicht in:	Journal of mathematical physics 2014-04, Vol.55 (4), p.1
1. Verfasser:	del Rio, Rafael
Format:	Artikel
Sprache:	eng
Schlagworte:	CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Density Density of states Ergodic processes HAMILTONIANS Integrated approach Mathematical models Operators (mathematics) PERIODICITY Physics POTENTIALS Quantum physics Random variables RANDOMNESS
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