Positive lyapunov exponents for quasiperiodic Szegő cocycles
From MaRDI portal
Publication:2895589
DOI10.1088/0951-7715/25/6/1771zbMath1277.37009arXiv1204.2234OpenAlexW1993514703MaRDI QIDQ2895589
Publication date: 3 July 2012
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.2234
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Periodic and quasi-periodic flows and diffeomorphisms (37C55)
Related Items (24)
Uniform positivity of Lyapunov exponent for a class of smooth Schrödinger cocycles with weak Liouville frequencies ⋮ The set of smooth quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is not open ⋮ Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles ⋮ Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients ⋮ Almost everything about the unitary almost Mathieu operator ⋮ On the Lyapunov exponent for some quasi-periodic cocycles with large parameter ⋮ An asymptotic formula for the Lyapunov exponent of Gevrey skew-shift Schrödinger operator ⋮ Hölder continuity of Lyapunov exponent for a family of smooth Schrödinger cocycles ⋮ Large coupling asymptotics for the Lyapunov exponent of quasi-periodic Schrödinger operators with analytic potentials ⋮ Properties of a class of quasi-periodic Schrödinger operators ⋮ Dynamics and spectral theory of quasi-periodic Schrödinger-type operators ⋮ Large coupling asymptotics for the entropy of quasi-periodic operators ⋮ Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices ⋮ Anderson localization for quasi-periodic CMV matrices and quantum walks ⋮ A new proof of continuity of Lyapunov exponents for a class of \( C^2 \) quasiperiodic Schrödinger cocycles without LDT ⋮ A formula related to CMV matrices and Szegő cocycles ⋮ Continuity, positivity and simplicity of the Lyapunov exponents for quasi-periodic cocycles ⋮ Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger operators ⋮ Joint continuity of Lyapunov exponent for finitely smooth quasi-periodic Schrödinger cocycles ⋮ Positive Lyapunov exponent for a class of quasi-periodic cocycles ⋮ Large coupling asymptotics for the Lyapunov exponent of finitely smooth quasi-periodic Schrödinger operators ⋮ New proof of continuity of Lyapunov exponents for a class of smooth Schrödinger cocycles with weak Liouville frequencies ⋮ Cantor spectrum for CMV matrices with almost periodic Verblunsky coefficients ⋮ Uniform positivity and continuity of Lyapunov exponents for a class of \(C^2\) quasiperiodic Schrödinger cocycles
This page was built for publication: Positive lyapunov exponents for quasiperiodic Szegő cocycles
