Lyapunov exponents for discrete, quasi-periodic Schrödinger operators

DOI10.1016/S1631-073X(02)02525-6zbMath1011.37050MaRDI QIDQ1852827

Jean Bourgain

Publication date: 22 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

lower bounds

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Difference operators (39A70)

Related Items (1)

Quantum Hamiltonians with quasi-ballistic dynamics and point spectrum

Cites Work

• Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials
• Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
• Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
• On nonperturbative localization with quasi-periodic potential.
• Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions

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