Some applications of Lyapunov regularity

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dc.contributor.authorBarreira, Luis
dc.contributor.authorValls, Claudia
dc.date.accessioned2023-04-17T14:46:55Z
dc.date.available2023-04-17T14:46:55Z
dc.date.issued2022-03-18
dc.description.abstractFor a non-autonomous dynamics with discrete time defined by a tempered sequence of upper-triangular matrices, we obtain lower and upper bounds for the Grobman regularity coefficients. We also give two applications of these results: we obtain an upper bound for the Grobman coefficients of the exterior powers of a tempered sequence, and we give a simple proof of Oseledets' multiplicative ergodic theorem for cocycles over a measure-preserving transformation without using Kingman's subadditive ergodic theorem.
dc.description.departmentMathematics
dc.formatText
dc.format.extent25 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBarreira, L., & Valls, C. (2022). Some applications of Lyapunov regularity. <i>Electronic Journal of Differential Equations, 2022</i>(19), pp. 1-25.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16578
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, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectLyapunov regularity
dc.subjectExterior powers
dc.subjectCocycles
dc.titleSome applications of Lyapunov regularityen_US
dc.typeArticle

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