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Markov and Foias Operators

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Chaos, Fractals, and Noise

Part of the book series: Applied Mathematical Sciences ((AMS,volume 97))

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Abstract

Throughout this book we have studied the asymptotic behavior of densities. However, in some cases the statistical properties of dynamical systems are better described if we use a more general notion than a density, namely, a measure. In fact, the sequences (or flows) of measures generated by dynamical systems simultaneously generalize the notion of trajectories and the sequences (or flows) of densities. They are of particular value in studying fractals.

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© 1994 Springer Science+Business Media New York

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Lasota, A., Mackey, M.C. (1994). Markov and Foias Operators. In: Chaos, Fractals, and Noise. Applied Mathematical Sciences, vol 97. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4286-4_12

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  • DOI: https://doi.org/10.1007/978-1-4612-4286-4_12

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8723-0

  • Online ISBN: 978-1-4612-4286-4

  • eBook Packages: Springer Book Archive

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