Luis Barreira, Claudia Valls
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.
Submitted February 11, 2021. Published March 18, 2022.
Math Subject Classifications: 37C75.
Key Words: Lyapunov regularity; exterior powers; cocycles.
DOI: https://doi.org/10.58997/ejde.2022.19
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| Luís Barreira Departamento de Matemática Instituto Superior Tíecnico Universidade de Lisboa, Av. Rovisco Pais 1049-001 Lisboa, Portugal email: barreira@math.tecnico.ulisboa.pt |
| Claudia Valls Departamento de Matemática Instituto Superior Técnico Universidade de Lisboa, Av. Rovisco Pais 1049-001 Lisboa, Portugal email: cvalls@math.tecnico.ulisboa.pt |
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