Some applications of Lyapunov regularity
dc.contributor.author | Barreira, Luis | |
dc.contributor.author | Valls, Claudia | |
dc.date.accessioned | 2023-04-17T14:46:55Z | |
dc.date.available | 2023-04-17T14:46:55Z | |
dc.date.issued | 2022-03-18 | |
dc.description.abstract | For 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.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 25 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Barreira, L., & Valls, C. (2022). Some applications of Lyapunov regularity. Electronic Journal of Differential Equations, 2022(19), pp. 1-25. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16578 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Lyapunov regularity | |
dc.subject | Exterior powers | |
dc.subject | Cocycles | |
dc.title | Some applications of Lyapunov regularity | |
dc.type | Article |