A note on Lyapunov exponents of deterministic strongly mixing potentials

DOI10.4171/JST/89zbMath1318.82021arXiv1312.6164OpenAlexW2963924046MaRDI QIDQ2347237

Eric Bourgain-Chang, Jean Bourgain

Publication date: 27 May 2015

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6164

zbMATH Keywords

transfer matrixSchrödinger operatorLyapounov exponent

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear difference operators (47B39)

Related Items (3)

Positive Lyapunov exponent for some Schrödinger cocycles over multidimensional strongly expanding torus endomorphisms ⋮ Circle maps driven by a class of uniformly distributed sequences on T$\mathbb {T}$ ⋮ Schrödinger operators with potentials generated by hyperbolic transformations. I: Positivity of the Lyapunov exponent

Cites Work

• Positive Lyapunov exponents for a class of deterministic potentials
• Anderson localization for Schrödinger operators on \(\mathbb{Z}\) with strongly mixing potentials.
• Unnamed Item

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