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The invariant densities for maps modeling intermittency

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Abstract

For a one-parameter family of maps modeling intermittency the explicit formula of the invariant density is presented.

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References

  1. M. Halfant, Analytic properties of Rényi's invariant density,Isr. J. Math. 27:1–20 (1977).

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  2. P. Manneville, Intermittency, self-similarity and 1/f spectrum in dissipative dynamical systems,J. Phys. (Paris)41:1235–1243 (1980).

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  3. M. Thaler, Transformations on [0, 1] with infinite invariant measures,Isr.J. Math. 46:67–96 (1983).

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Authors and Affiliations

  1. Institute of Mathematics, University of Salzburg, 5020, Salzburg, Austria

    Maximilian Thaler

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  1. Maximilian Thaler
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Communicated by J. L. Lebowitz

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Thaler, M. The invariant densities for maps modeling intermittency. J Stat Phys 79, 739–741 (1995). https://doi.org/10.1007/BF02184879

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  • DOI: https://doi.org/10.1007/BF02184879

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