Ergodic linear Hamiltonian systems with absolutely continuous dynamics (Q2784726)
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scientific article; zbMATH DE number 1732951
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ergodic linear Hamiltonian systems with absolutely continuous dynamics |
scientific article; zbMATH DE number 1732951 |
Statements
27 February 2003
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perturbation
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ergodic structure
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random linear Hamiltonian systems
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absolutely continuous dynamics
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Weyl \(M\)-functions
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skew-symmetric form
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0.91591233
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0.9060092
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0.9025689
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0.9010759
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0.9006443
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0.89388907
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Ergodic linear Hamiltonian systems with absolutely continuous dynamics (English)
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This paper is devoted to the ergodic structure of random linear Hamiltonian systems. More precisely, the authors present conditions that are sufficient for the presence of absolutely continuous dynamics. Such conditions are formulated in terms of the behaviour of Weyl \(M\)-functions in the direction of a suitable Atkinson perturbation. These properties of the Weyl \(M\)-matrices are equivalent to the existence of a square-integrable symplectic matrix-valued function which defines a change of variables that takes the initial systems to a skew-symmetric form and preserves the character of the dynamics.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00016].
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