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Orthogonal polynomials on the unit circle with quasiperiodic Verblunsky coefficients have generic purely singular continuous spectrum
| 1. | Department of Mathematics MS-136, Rice University, 6100 Main St, Houston, TX 77005, United States |
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References:
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Michael Boshernitzan and David Damanik, Generic continuous spectrum for ergodic Schrödinger operators, Communications in Mathematical Physics, 283 (2008), 647-662. |
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A. Khintchine, "Continued Fractions," Dover, 1997. |
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Darren C. Ong, Limit-periodic Verblunsky coefficients for orthogonal polynomials on the unit circle, Journal of Mathematical Analysis and Applications, 394(2) (2012), 633-644. |
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Zhenghe Zhang, Positive Lyapunov exponents for quasiperiodic Szëgo cocycles, Nonlinearity, 25 (2012), 1771-1797. |
show all references
References:
| [1] |
Michael Boshernitzan and David Damanik, Generic continuous spectrum for ergodic Schrödinger operators, Communications in Mathematical Physics, 283 (2008), 647-662. |
| [2] |
A. Khintchine, "Continued Fractions," Dover, 1997. |
| [3] |
Darren C. Ong, Limit-periodic Verblunsky coefficients for orthogonal polynomials on the unit circle, Journal of Mathematical Analysis and Applications, 394(2) (2012), 633-644. |
| [4] |
Zhenghe Zhang, Positive Lyapunov exponents for quasiperiodic Szëgo cocycles, Nonlinearity, 25 (2012), 1771-1797. |
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