Delone dynamical systems and associated random operators

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dc.creatorLenz, Daniel
dc.creatorStollmann, Peter
dc.date2002-02-26
dc.date2002-05-13
dc.date.accessioned2026-07-07T04:29:01Z
dc.date.available2026-07-07T04:29:01Z
dc.descriptionWe carry out a careful study of basic topological and ergodic features of Delone dynamical systems. We then investigate the associated topological groupoids and in particular their representations on certain direct integrals with non constant fibres. Via non-commutative-integration theory these representations give rise to von Neumann algebras of random operators. Features of these algebras and operators are discussed. Restricting our attention to a certain subalgebra of tight binding operators, we then discuss a Shubin trace formula.
dc.description19 pages; revised version
dc.identifierhttps://arxiv.org/abs/math-ph/0202042
dc.identifierhttp://arxiv.org/abs/math-ph/0202042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57006
dc.subjectMathematical Physics
dc.subject52C23;82B44
dc.titleDelone dynamical systems and associated random operators
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