The entropy of Lyapunov-optimizing measures of some matrix cocycles

DOI10.3934/jmd.2016.10.255zbMath1346.15030arXiv1312.6718OpenAlexW2949762140MaRDI QIDQ316998

Michał Rams, Jairo Bochi

Publication date: 30 September 2016

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6718

zbMATH Keywords

entropyLyapunov exponentsjoint spectral radiusdominated splittingsergodic optimizationjoint spectral subradiuslinear cocycles

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Partially hyperbolic systems and dominated splittings (37D30) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items

Eigenvalue gaps for hyperbolic groups and semigroups, Lyapunov-maximizing measures for pairs of weighted shift operators, Variational principle for nonhyperbolic ergodic measures: skew products and elliptic cocycles, A convex analysis approach to entropy functions, variational principles and equilibrium states, Dimension maximizing measures for self-affine systems, Nonhyperbolic dynamics by mingling, blending, and flip-flopping, On the Ledrappier–Young formula for self-affine measures, Entropy spectrum of Lyapunov exponents for nonhyperbolic step skew-products and elliptic cocycles, Continuity properties of the lower spectral radius, Entropy of Lyapunov-Optimizing Measures of Some Matrix Cocycles, Ergodic optimization in dynamical systems, The joint spectrum, Extremal norms for fiber-bunched cocycles

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