The asymptotic behaviour of cocycles over flows

DOI10.1090/mosc/320zbMath1498.37087arXiv2104.06334OpenAlexW4220757000MaRDI QIDQ5082256

M. E. Lipatov

Publication date: 16 June 2022

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06334

zbMATH Keywords

Lyapunov exponentsflowcocycleBirkhoff's theoremOseledets' multiplicative ergodic theorem

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15)

Cites Work

• A proof of Oseledec's multiplicative ergodic theorem
• Zeros of integrals along trajectories of ergodic systems
• Fibres dynamiques asymptotiquement compacts, exposants de Lyapunov. Entropie. Dimension. (Asymptotically compact dynamical bundles, Lyapunov exponents. Entropy. Dimension)
• Characteristic exponents and invariant manifolds in Hilbert space
• A multiplicative ergodic theorem and nonpositively curved spaces
• Lyapunov indices of a product of random matrices
• Recurrence of Co-Cycles and Random Walks
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