The generalised Berger-Wang formula and the spectral radius of linear cocycles
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Publication:665508
DOI10.1016/j.jfa.2011.09.021zbMath1254.47006arXiv0906.2915OpenAlexW2962978872MaRDI QIDQ665508
Publication date: 5 March 2012
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.2915
spectral radiusmeasure of noncompactnessjoint spectral radiusessential spectral radiusmultiplicative ergodic theoremlinear cocycleBerger-Wang formula
Ergodic theory of linear operators (47A35) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
Related Items (16)
Ergodic properties of matrix equilibrium states ⋮ Continuity of spectral radius over hyperbolic systems ⋮ Topological radicals and joint spectral radius ⋮ Bounds on the joint and generalized spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ Boundedness, compactness, and invariant norms for Banach cocycles over hyperbolic systems ⋮ Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations ⋮ Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators ⋮ Characterization of dominated splittings for operator cocycles acting on Banach spaces ⋮ Periodic approximation of Lyapunov exponents for Banach cocycles ⋮ The Berger-Wang formula for the Markovian joint spectral radius ⋮ Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles ⋮ Totally ergodic generalised matrix equilibrium states have the Bernoulli property ⋮ On the spectral radius of compact operator cocycles ⋮ A new inequality about matrix products and a Berger-Wang formula ⋮ Ergodic optimization in dynamical systems ⋮ Inequalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators
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