Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications

DOI10.1007/s10955-013-0830-9zbMath1291.33010arXiv1305.6647OpenAlexW2084339738MaRDI QIDQ2016504

David Damanik, William N. Yessen, Paul E. Munger

Publication date: 20 June 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6647

zbMATH Keywords

orthogonal polynomialsFibonacci sequencequantum walks

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (16)

Quantum intermittency for sparse CMV matrices with an application to quantum walks on the half-line ⋮ The Hölder continuity of spectral measures of an extended CMV matrix ⋮ Spectral approximation for ergodic CMV operators with an application to quantum walks ⋮ A condition for purely absolutely continuous spectrum for CMV operators using the density of states ⋮ Spectral properties of continuum Fibonacci Schrödinger operators ⋮ Symmetric Diffusions with Polynomial Eigenvectors ⋮ On the spectrum of 1D quantum Ising quasicrystal ⋮ Resolvent Methods for Quantum Walks with an Application to a Thue–Morse Quantum Walk ⋮ Spectral characteristics of the unitary critical almost-Mathieu operator ⋮ Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks ⋮ Purely singular continuous spectrum for CMV operators generated by subshifts ⋮ Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices ⋮ The Fibonacci Hamiltonian ⋮ An Electrostatic Interpretation of the Zeros of Paraorthogonal Polynomials on the Unit Circle ⋮ Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon Lemmas ⋮ Limit-periodic Dirac operators with thin spectra

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