Uniform Hyperbolicity for Szegő Cocycles and Applications to Random CMV Matrices and the Ising Model

DOI10.1093/imrn/rnu158zbMath1325.33007arXiv1404.7065OpenAlexW2963534385MaRDI QIDQ2947834

Jake Fillman, David Damanik, Milivoje Lukic, William N. Yessen

Publication date: 29 September 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7065

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (8)

Characterizations of uniform hyperbolicity and spectra of CMV matrices ⋮ Spectral approximation for ergodic CMV operators with an application to quantum walks ⋮ On the Lyapunov exponent for some quasi-periodic cocycles with large parameter ⋮ A condition for purely absolutely continuous spectrum for CMV operators using the density of states ⋮ Parametric Furstenberg theorem on random products of \(\mathrm{SL}(2, \mathbb{R})\) matrices ⋮ Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks ⋮ Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon Lemmas ⋮ Limit-periodic Dirac operators with thin spectra

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