\(L^p(\mu)\)-estimation of tangent maps

DOI10.1006/jmaa.1999.6366zbMath0949.37008OpenAlexW2028285304MaRDI QIDQ1304640

V. Pereyra

Publication date: 25 April 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6366

zbMATH Keywords

computation of Lyapunov exponentsEckmann-Ruelle algorithm

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Cites Work

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• Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
• Connecting ergodicity and dimension in dynamical systems
• Dimension, entropy and Lyapunov exponents
• Two definitions of fractional dimension
• Convergence of the Eckmann and Ruelle algorithm for the estimation of Liapunov exponents
• Functions continuous and singular with respect to a Hausdorff measure

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