Barreira, LuisValls, Claudia2023-04-172023-04-172022-03-18Barreira, L., & Valls, C. (2022). Some applications of Lyapunov regularity. <i>Electronic Journal of Differential Equations, 2022</i>(19), pp. 1-25.1072-6691https://hdl.handle.net/10877/16578For 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.Text25 pages1 file (.pdf)enAttribution 4.0 InternationalLyapunov regularityExterior powersCocyclesArticle