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Resonances in Hyperbolic and Hamiltonian Systems

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Harmonic Analysis and Rational Approximation

Part of the book series: Lecture Notes in Control and Information Science ((LNCIS,volume 327))

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Abstract

This text is a brief introduction to “Ruelle resonances,” i.e. the spectra of transfer operators and their relation with poles and zeroes of dynamical zeta functions, and with poles of the Fourier transform of correlation functions.

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J. -D. Fournier J. Grimm J. Leblond J. R. Partington

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Baladi, V. Resonances in Hyperbolic and Hamiltonian Systems. In: Fournier, J.D., Grimm, J., Leblond, J., Partington, J.R. (eds) Harmonic Analysis and Rational Approximation. Lecture Notes in Control and Information Science, vol 327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11601609_15

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  • DOI: https://doi.org/10.1007/11601609_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30922-2

  • Online ISBN: 978-3-540-33167-4

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