Open AccessLimit-periodic Schrödinger operators with Lipschitz continuous IDS
Author(s) -
David Damanik,
Jake Fillman
Publication year - 2018
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/14354
Subject(s) - lipschitz continuity , limit (mathematics) , mathematics , schrödinger's cat , operator (biology) , inverse , mathematical analysis , pure mathematics , geometry , chemistry , biochemistry , repressor , transcription factor , gene
We show that there exist limit-periodic Schr\"odinger operators such that the associated integrated density of states is Lipschitz continuous. These operators arise in the inverse spectral theoretic KAM approach of P\"oschel.
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