ITERATION OF POLYNOMIAL PAIR UNDER THUE-MORSE DYNAMIC

Qinghui Liu, Yan-Hui Qu · arXiv (Cornell University) · 2014

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Type: preprint
Published: 2014-03-10
Cited by: 1
References: 17
Access: Open access
DOI: https://doi.org/10.48550/arxiv.1403.2257
arXiv: https://arxiv.org/abs/1403.2257
OpenAlex: https://openalex.org/W43236692
Semantic Scholar: https://api.semanticscholar.org/CorpusID:115541166

Keywords

Mathematics, Sequence (biology), Morse code, Polynomial, Combinatorics

References

Hausdorff Dimension of Spectrum of One-Dimensional Schrödinger Operator with Sturmian PotentialsQinghui Liu, Zhi‐Ying Wen — 2004
Uniform ergodic theorems on subshifts over a finite alphabetDaniel Lenz — 2000
The Fractal Dimension of the Spectrum of the Fibonacci HamiltonianDavid Damanik, Mark Embree, Anton Gorodetski — 2007
Spectrum and extended states in a harmonic chain with controlled disorder: Effects of the Thue-Morse symmetryF. Axel, J. Peyri�re — 1989
Hyperbolicity of the trace map for the weakly coupled Fibonacci HamiltonianDavid Damanik, Anton Gorodetski — 2008
Fractal Geometry: Mathematical Foundations and ApplicationsK. J. Falconer — 1990
Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutionsAnton Bovier, Jean-Michel Ghez — 1993
Measure Zero Spectrum of a Class of Schrödinger OperatorsQinghui Liu, Bo Tan, Zhi‐Xiong Wen — 2002
Spectral and Quantum Dynamical Properties of the Weakly Coupled Fibonacci HamiltonianDavid Damanik, Anton Gorodetski — 2010
Power Law Subordinacy and Singular Spectra.¶II. Line OperatorsSvetlana Jitomirskaya, Yoram Last — 2000
Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutionsAnton Bovier, Jean-Michel Ghez — 1994
BERS AND HÉNON, PAINLEVÉ AND SCHRÖDINGERSerge Cantat — 2009
Spectral Properties of Schrödinger’s Operator with a Thue-Morse PotentialJ. Bellissard — 1990
Power-law subordinacy and singular spectra I. Half-line operatorsTim Purdy — 1999

Cited by

Spectral Approximation for Quasiperiodic Jacobi OperatorsCharles Puelz, Mark Embree, Jake Fillman — 2014

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