Singular Continuous Spectrum and Generic Full Spectral/Packing Dimension for Unbounded Quasiperiodic Schrodinger Operators

Yang Fan; Zhang Shiwen

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Singular Continuous Spectrum and Generic Full Spectral/Packing Dimension for Unbounded Quasiperiodic Schrodinger Operators

机译：无限的Quasiodic Schrodinger运算符的奇异连续频谱和通用全谱/包装尺寸

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摘要

We proved that quasiperiodic Schrodinger operators with unbounded potentials (H,u)n=un+1+un-1+ un have purely singular continuous spectrum on the set {E:0

机译：我们证明了Quasiperiodic Schrodinger运营商具有无界潜力（H，U）n = UN + 1 + UN-1 + UN在集合{E：0

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来源
《Annales Henri Poincare》 |2019年第7期|共14页
作者
Yang Fan; Zhang Shiwen;
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作者单位

Georgia Inst Technol Sch Math Atlanta GA 30332 USA;

Michigan State Univ Dept Math E Lansing MI 48824 USA;

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正文语种 eng
中图分类理论物理学;
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1. Singular Continuous Spectrum and Generic Full Spectral/Packing Dimension for Unbounded Quasiperiodic Schrodinger Operators [J] . Yang Fan, Zhang Shiwen Annales Henri Poincare . 2019,第7期

机译：无限的Quasiodic Schrodinger运算符的奇异连续频谱和通用全谱/包装尺寸
2. A nonprimitive substitution Schrodinger operator with generic singular continuous spectrum [J] . Cesar R. de Oliveira, Marcus V. Lima Reports on Mathematical Physics . 2000,第3期

机译：具有泛型奇异连续谱的非本原替换薛定inger算子
3. On the Singular Spectrum for Adiabatic Quasiperiodic Schrodinger Operators [J] . Magali Marx, Hatem Najar Advances in Mathematical Physics . 2010,第Null期

机译：绝热拟周期薛定inger算子的奇异谱
4. ORTHOGONAL POLYNOMIALS ON THE UNIT CIRCLE WITH QUASIPERIODIC VERBLUNSKY COEFFICIENTS HAVE GENERIC PURELY SINGULAR CONTINUOUS SPECTRUM [C] . Darren C. Ong AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：具有QuaSiperiodic Verblunsky系数的单位圆上的正交多项式具有通用纯度奇异的连续频谱
5. Spectral analysis of the one dimensional Schrödinger operator with unbounded potentials [D] . Holt, Jason Ladd 2007

机译：具有无限势的一维Schrödinger算子的光谱分析
6. SPECTRAL REPRESENTATIONS AND UNBOUNDED CONVOLUTION OPERATORS [O] . C. Ionescu Tulcea, Arthur B. Simon 1959

机译：谱表示和无界卷积算子
7. Generic continuous spectrum for multi-dimensional quasiperiodic Schrödinger operators with rough potentials [O] . Rui Han, Fan Yang 2018

机译：多维QuasipheriodicSchrödinger运营商具有粗糙电位的通用连续谱

Singular Continuous Spectrum and Generic Full Spectral/Packing Dimension for Unbounded Quasiperiodic Schrodinger Operators

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