Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrödinger equations

DOI10.1088/0951-7715/24/5/008zbMath1234.37009OpenAlexW2113258239MaRDI QIDQ3000865

Meirong Zhang, Zhe Zhou

Publication date: 31 May 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5f7f7508d5ce73eb5dcbe44894be0d2552fdc115

zbMATH Keywords

Schrödinger equationsskew-product flowsalmost periodic potentialuniform ergodic theorem

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Ergodic theorems, spectral theory, Markov operators (37A30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Rotation numbers and vectors (37E45)

Related Items (8)

Uniform and semi-uniform convergence for discontinuous skew-product transformation and observation ⋮ Semi-uniform sub-additive ergodic theorems for skew-product quasi-flows ⋮ The rotation number for almost periodic potentials with jump discontinuities and \(\delta \)-interactions ⋮ Strong proximality for discontinuous skew-product actions of amenable semigroups ⋮ Invariant measures for discontinuous skew-product actions of amenable semigroups and some ergodic results ⋮ Semi-uniform sub-additive ergodic theorems for discontinuous skew-product transformations ⋮ The rotation number for almost periodic Schrödinger operators with \(\delta \)-potentials ⋮ The rotation number of the linear Schrödinger equation with discontinuous almost periodic potentials

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