Sharp \(\frac{1}{2}\)-Hölder continuity of the Lyapunov exponent at the bottom of the spectrum for a class of Schrödinger cocycles

DOI10.3934/dcds.2020189zbMath1453.37027arXiv1809.05420OpenAlexW3015769362MaRDI QIDQ2176553

Thomas Ohlson Timoudas, Jordi-Lluís Figueras

Publication date: 5 May 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05420

zbMATH Keywords

Lyapunov exponent, quasi-periodic cocycle, Schrödinger operator

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items

Accurate computations up to breakdown of quasi-periodic attractors in the dissipative spin-orbit problem, Pointwise modulus of continuity of the Lyapunov exponent and integrated density of states for analytic multi-frequency quasi-periodic M(2,C) cocycles

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