Local rigidity of reducibility of analytic quasi-periodic cocycles on \(\mathrm{GL}(n,\mathbb C)\)

DOI10.1016/j.na.2010.05.026zbMath1200.37005OpenAlexW2165220096MaRDI QIDQ988845

Xuanji Hou

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.05.026

zbMATH Keywords

reducibilityrigiditycocycleKAM

Mathematics Subject Classification ID

Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Cites Work

• Unnamed Item
• An extension of a result by Dinaburg and Sinai on quasi-periodic potentials
• Local rigidity of reducibility of analytic quasi-periodic cocycles on \(U(n)\)
• Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
• Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles
• The rigidity of reducibility of cocycles on SO(N,\mathbb{R})