Monodromization and a \(\mathcal{PT}\)-symmetric nonself-adjoint quasi-periodic operator

DOI10.1134/s1061920823030032OpenAlexW4386440112MaRDI QIDQ6052493

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Publication date: 22 September 2023

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920823030032

Mathematics Subject Classification ID

Quantum computation (81P68) Spectrum, resolvent (47A10) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Cites Work

• On the measure of the spectrum for the almost Mathieu operator
• Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
• Spectral behavior of quasi periodic potentials
• On the spectrum of certain discrete Schrödinger operators with quasiperiodic potential
• On the spectrum of a non-self-adjoint quasiperiodic operator
• On minimal entire solutions of the one-dimensional difference Schrödinger equation with the potential \(v(z) = e^{-2\pi iz}\)
• A spectral theory for direct integrals of operators
• On Bloch solutions of difference Schrödinger equations
• Monodromization method in the theory of almost-periodic equations
• Dynamics and spectral theory of quasi-periodic Schrödinger-type operators
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