A Thouless formula and Aubry duality for long-range Schrödinger skew-products

DOI10.1088/0951-7715/26/5/1163zbMath1339.47039OpenAlexW1973349464MaRDI QIDQ4924173

Joaquim Puig, Àlex Haro

Publication date: 30 May 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ac1c0a256f381e5a773571e02ca65ee57a85700a

zbMATH Keywords

quasi-periodic Schrödinger operatorsAubry dualitylong range operatorsThoules formula

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

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