Anderson localization for radial tree graphs with random branching numbers

dc.citation.firstpage	418
dc.citation.issueNumber	2
dc.citation.journalTitle	Journal of Functional Analysis
dc.citation.lastpage	433
dc.citation.volumeNumber	277
dc.contributor.author	Damanik, David
dc.contributor.author	Sukhtaiev, Selim
dc.date.accessioned	2019-08-21T19:16:16Z
dc.date.available	2019-08-21T19:16:16Z
dc.date.issued	2019
dc.description.abstract	We prove Anderson localization for the discrete Laplace operator on radial tree graphs with random branching numbers. Our method relies on the representation of the Laplace operator as the direct sum of half-lineﾠJacobi matricesﾠwhose entries are non-degenerate, independent, identically distributed random variables with singular distributions.
dc.identifier.citation	Damanik, David and Sukhtaiev, Selim. "Anderson localization for radial tree graphs with random branching numbers." <i>Journal of Functional Analysis,</i> 277, no. 2 (2019) Elsevier: 418-433. https://doi.org/10.1016/j.jfa.2018.11.007.
dc.identifier.doi	https://doi.org/10.1016/j.jfa.2018.11.007
dc.identifier.uri	https://hdl.handle.net/1911/106272
dc.language.iso	eng
dc.publisher	Elsevier
dc.rights	This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
dc.subject.keyword	Anderson localization
dc.subject.keyword	Laplace operator
dc.subject.keyword	Tree graphs
dc.title	Anderson localization for radial tree graphs with random branching numbers
dc.type	Journal article
dc.type.dcmi	Text
dc.type.publication	pre-print

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