Multiplicative ergodic theorem of semi-discrete dynamic systems

DOI10.1090/proc/15999zbMath1505.37066OpenAlexW4210928247MaRDI QIDQ5869412

Xue Yang, Jiahui Feng

Publication date: 28 September 2022

Full work available at URL: https://doi.org/10.1090/proc/15999

zbMATH Keywords

ergodicityrandom dynamical systemsOseledec splittingsemi-discrete systemsquasi-cocycle

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

• On random linear dynamical systems in a Banach space. I: Multiplicative ergodic theorem and Krein-Rutman type theorems
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Kingman's subadditive ergodic theorem
• Pointwise dimension, entropy and Lyapunov exponents for $C^{1}$ maps
• Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
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