Purely singular continuous spectrum for CMV operators generated by subshifts

DOI10.1007/s10955-014-0974-2zbMath1325.47068arXiv1310.8132OpenAlexW3102938705MaRDI QIDQ2511526

Darren C. Ong

Publication date: 6 August 2014

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

Full work available at URL: https://arxiv.org/abs/1310.8132

zbMATH Keywords

dynamical systemsspectral theorymathematical physics

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Applications of operator theory in the physical sciences (47N50) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Spectrum, resolvent (47A10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (4)

Characterizations of uniform hyperbolicity and spectra of CMV matrices ⋮ Quantitative version of Gordon's lemma for Hamiltonian with finite range ⋮ Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices ⋮ Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon Lemmas

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