Quasicrystals, aperiodic order, and groupoid von Neumann algebras.

DOI10.1016/S1631-073X(02)02401-9zbMath1115.53306MaRDI QIDQ1608756

Peter Stollmann, Daniel H. Lenz

Publication date: 8 August 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

integrated density of statesDelone setstight binding operators for quasicrystals

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) General theory of von Neumann algebras (46L10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Symbolic dynamics (37B10) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (7)

Characterization of the Anderson metal-insulator transition for non ergodic operators and application ⋮ Discontinuities of the integrated density of states for random operators on Delone sets ⋮ An ergodic theorem for Delone dynamical systems and existence of the integrated density of states ⋮ Generic sets in spaces of measures and generic singular continuous spectrum for Delone Hamiltonians ⋮ Groupoids, von Neumann algebras and the integrated density of states ⋮ Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence ⋮ Localisation for Delone operators via Bernoulli randomisation

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