Ergodicity and dynamical localization for Delone–Anderson operators

DOI10.1142/S0129055X15500208zbMath1332.60098arXiv1405.4233OpenAlexW1956374174MaRDI QIDQ3465949

François Germinet, Constanza Rojas-Molina, Peter Müller

Publication date: 29 January 2016

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4233

zbMATH Keywords

random Schrödinger operatorsintegrated density of statesergodic theoremDelone setsDelone-Anderson operators

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Ergodic theorems, spectral theory, Markov operators (37A30) Random linear operators (47B80)

Related Items (9)

Scale-free unique continuation estimates and applications to random Schrödinger operators ⋮ Tight-binding reduction and topological equivalence in strong magnetic fields ⋮ Non-commutative Chern numbers for generic aperiodic discrete systems ⋮ Index theory and topological phases of aperiodic lattices ⋮ Characterization of the Anderson metal-insulator transition for non ergodic operators and application ⋮ Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials ⋮ Random Schrödinger operators and Anderson localization in aperiodic media ⋮ Band edge localization beyond regular Floquet eigenvalues ⋮ Localisation for Delone operators via Bernoulli randomisation

Cites Work

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