Schr\"odinger Operators With Potentials Generated by Hyperbolic Transformations: I. Positivity of the Lyapunov Exponent

DOI10.1007/S00222-022-01157-2zbMath1511.37038arXiv2011.10146WikidataQ115608880 ScholiaQ115608880MaRDI QIDQ6354156

Zhenghe Zhang, David Damanik, Artur Avila

Publication date: 19 November 2020

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Discrete version of topics in analysis (39A12) Difference operators (39A70) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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