Zero Hausdorff Dimension Spectrum for the Almost Mathieu Operator

Yoram Last; Mira Shamis

doi:10.1007/s00220-016-2620-0

Zero Hausdorff Dimension Spectrum for the Almost Mathieu Operator

Yoram Last, Mira Shamis

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	729-750
Number of pages	22
Journal	Communications in Mathematical Physics
Volume	348
Issue number	3
DOIs	https://doi.org/10.1007/s00220-016-2620-0
State	Published - 1 Dec 2016

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Zero Hausdorff Dimension Spectrum for the Almost Mathieu Operator",

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.",

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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Zero Hausdorff Dimension Spectrum for the Almost Mathieu Operator

Abstract

All Science Journal Classification (ASJC) codes

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