Some applications of Lyapunov regularity
Date
2022-03-18
Authors
Barreira, Luis
Valls, Claudia
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Lyapunov regularity, Exterior powers, Cocycles
Citation
Barreira, L., & Valls, C. (2022). Some applications of Lyapunov regularity. <i>Electronic Journal of Differential Equations, 2022</i>(19), pp. 1-25.
Rights
Attribution 4.0 International