A generalization of the Avalanche Principle
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Publication:6557107
DOI10.1007/S11464-022-0054-XzbMATH Open1547.3705MaRDI QIDQ6557107
Publication date: 18 June 2024
Published in: Frontiers of Mathematics (Search for Journal in Brave)
Cites Work
- Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles
- Positivity and continuity of the Lyapunov exponent for shifts on \(\mathbb T^d\) with arbitrary frequency vector and real analytic potential
- Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues
- Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
- Hölder regularity of integrated density of states for the almost Mathieu operator in a perturbative regime
- Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger operators
- Uniform positivity and continuity of Lyapunov exponents for a class of \(C^2\) quasiperiodic Schrödinger cocycles
- Regularity and convergence rates for the Lyapunov exponents of linear cocycles
- Hölder continuity of the Lyapunov exponent for analytic quasiperiodic Schrödinger cocycle with weak Liouville frequency
- Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles
- Lyapunov exponents for some quasi-periodic cocycles
- Dynamics and spectral theory of quasi-periodic Schrödinger-type operators
- Large Deviation Estimates and Hölder Regularity of the Lyapunov Exponents for Quasi-periodic Schrödinger Cocycles
- Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions
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