Ergodic Schrödinger operators in the infinite measure setting

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dc.citation.firstpage873
dc.citation.issueNumber2
dc.citation.journalTitleJournal of Spectral Theory
dc.citation.lastpage902
dc.citation.volumeNumber11
dc.contributor.authorBoshernitzan, Michael
dc.contributor.authorDamanik, David
dc.contributor.authorFillman, Jake
dc.contributor.authorLukic, Milivoje
dc.date.accessioned2021-09-21T15:37:33Z
dc.date.available2021-09-21T15:37:33Z
dc.date.issued2021
dc.description.abstractWe develop the basic theory of ergodic Schrödinger operators, which is well known for ergodic probability measures, in the case of a base dynamics on an infinite measure space. This includes the almost sure constancy of the spectrum and the spectral type, the definition and discussion of the density of states measure and the Lyapunov exponent, as well as a version of the Pastur–Ishii theorem. We also give some counterexamples that demonstrate that some results do not extend from the finite measure case to the infinite measure case. These examples are based on some constructions in infinite ergodic theory that may be of independent interest.
dc.identifier.citationBoshernitzan, Michael, Damanik, David, Fillman, Jake, et al.. "Ergodic Schrödinger operators in the infinite measure setting." <i>Journal of Spectral Theory,</i> 11, no. 2 (2021) EMS Press: 873-902. https://doi.org/10.4171/JST/360.
dc.identifier.digital1865625-10-4171-jst-360
dc.identifier.doihttps://doi.org/10.4171/JST/360
dc.identifier.urihttps://hdl.handle.net/1911/111364
dc.language.isoeng
dc.publisherEMS Press
dc.rightsThis work is licensed under a CC BY 4.0 license.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleErgodic Schrödinger operators in the infinite measure setting
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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