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• W3100120690 abstract "We proved that quasiperiodic Schrödinger operators with unbounded potentials $$(H_{alpha ,theta }u)_n=u_{n+1}+u_{n-1}+ frac{g(theta +nalpha )}{f(theta +nalpha )} u_n$$ have purely singular continuous spectrum on the set $${E: 0<L(E)<delta {(alpha ,theta ;f,g)}}$$ , where $$delta $$ is an explicit function and L is the Lyapunov exponent. We assume that f, g are Hölder continuous functions and f has finitely many zeros with weak non-degenerate assumptions. Moreover, we show that for generic $$alpha $$ and a.e. $$theta $$ , the spectral measure of $$H_{alpha ,theta }$$ has full spectral dimension and packing dimension." @default.
• W3100120690 created "2020-11-23" @default.
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• W3100120690 date "2019-05-14" @default.
• W3100120690 modified "2023-10-18" @default.
• W3100120690 title "Singular Continuous Spectrum and Generic Full Spectral/Packing Dimension for Unbounded Quasiperiodic Schrödinger Operators" @default.
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• W3100120690 doi "https://doi.org/10.1007/s00023-019-00810-6" @default.
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