A Margulis-Ruelle inequality for random dynamical systems
✍ Scribed by Jörg Bahnmüller; Thomas Bogenschütz
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 458 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0003-889X
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## Abstract In this paper, we prove the smooth conjugacy theorems of Sternberg type for random dynamical systems based on their Lyapunov exponents. We also present a stable and unstable manifold theorem with tempered estimates that are used to construct conjugacy. © 2005 Wiley Periodicals, Inc.
We establish a Grobman-Hartman theorem for perturbations of random dynamical systems, along orbits with nonzero Lyapunov exponents. The main novelty is that the conjugacies are always Hölder continuous, with Hölder exponent essentially determined by the ratios of Lyapunov exponents with the same sig