Extremal Lyapunov exponents: an invariance principle and applications

2010/04/20 by Artur Avila, Marcelo Viana · 153 citations
Mathematics · Physics and Astronomy · #Automorphism #Bernoulli's principle #Chaos control and synchronization #Chaotic #Diffeomorphism #Ergodic theory #Geometry #Invariant (physics) #Lyapunov exponent #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Quantum chaos and dynamical systems #Symplectic geometry #Torus

paper · doi:10.1007/s00222-010-0243-1

published in Inventiones mathematicae 181(1), 115-178 (Springer Science+Business Media)

openalex publication_date 2010/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Citations

• Statistical Properties of Dynamical Systems with Some Hyperbolicity
• Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture
• Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents

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