The Ruelle spectrum of generic transfer operators (Q432602)
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scientific article; zbMATH DE number 6053006
| Language | Label | Description | Also known as |
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| English | The Ruelle spectrum of generic transfer operators |
scientific article; zbMATH DE number 6053006 |
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The Ruelle spectrum of generic transfer operators (English)
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4 July 2012
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The author constructs a ``natural'' space of transfer operators related to holomorphic contraction systems. The optimality of classical upper bounds on the Ruelle eigenvalue sequence is shown for a dense set of transfer operators. A similar statement is derived for Perron-Frobenius operators related to uniformly expanding piecewise real analytic interval maps.
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transfer operators
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Perron-Frobenius operators
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decay of correlation
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holomorphic function spaces
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Ruelle eigenvalues
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potential theory
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