Non-perturbative weak Hölder continuity of Lyapunov exponent of discrete analytic Jacobi operators with skew-shift mapping

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dc.contributor.authorTao, Kai
dc.date.accessioned2021-11-29T18:45:07Z
dc.date.available2021-11-29T18:45:07Z
dc.date.issued2019-06-12
dc.description.abstractIn this article, we study the continuity of the Lyapunov exponent of discrete analytic Jacobi operators with the skew-shift mapping. We prove that the Lyapunov exponent is weak Holder continuous in E for any Diophantine frequency in the large coupling regimes.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTao, K. (2019). Non-perturbative weak Hölder continuity of Lyapunov exponent of discrete analytic Jacobi operators with skew-shift mapping. Electronic Journal of Differential Equations, 2019(81), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14969
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectLyapunov exponent
dc.subjectWeak Holder continuity
dc.subjectJacobi operator
dc.subjectSkew-shift mapping
dc.titleNon-perturbative weak Hölder continuity of Lyapunov exponent of discrete analytic Jacobi operators with skew-shift mappingen_US
dc.typeArticle

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