Spectral properties of pattern sequences of general degrees
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Published:2021-05-01
Issue:5
Volume:34
Page:3411-3428
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ISSN:0951-7715
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Container-title:Nonlinearity
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language:
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Short-container-title:Nonlinearity
Author:
Zheng Yu,Peng Li,Kamae Teturo
Abstract
Abstract
We study the spectral measures associated with pattern sequences of general degrees. They are either discrete, purely singular or absolutely continuous. We obtain a necessary and sufficient condition for the discreteness. We also obtain a sufficient condition to be absolutely continuous or to be the Lebesgue measure.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
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