Zero Hausdorff Dimension Spectrum for the Almost Mathieu Operator

Yoram Last, Mira Shamis*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We study the almost Mathieu operator at critical coupling. We prove that there exists a dense Gδ set of frequencies for which the spectrum is of zero Hausdorff dimension.

Original languageAmerican English
Pages (from-to)729-750
Number of pages22
JournalCommunications in Mathematical Physics
Volume348
Issue number3
DOIs
StatePublished - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016, Springer-Verlag Berlin Heidelberg.

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