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Spectral decomposition of tent maps using symmetry considerations

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Abstract

The spectral decomposition of the Frobenius-Perron operator of maps composed of many tents is determined from symmetry considerations. The eigenstates involve Euler as well as Bernoulli polynomials.

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Authors and Affiliations

  1. Center for Studies in Statistical Mechanics and Complex Systems, University of Texas at Austin, 78712, Austin, Texas

    Gonzalo E. Ordóñez & Dean J. Driebe

  2. International Solvay Institutes for Physics and Chemistry, Free University of Brussels, 1050, Brussels, Belgium

    Gonzalo E. Ordóñez & Dean J. Driebe

Authors
  1. Gonzalo E. Ordóñez
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  2. Dean J. Driebe
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Communicated by J. L. Lebowitz

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Ordóñez, G.E., Driebe, D.J. Spectral decomposition of tent maps using symmetry considerations. J Stat Phys 84, 269–276 (1996). https://doi.org/10.1007/BF02179586

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  • DOI: https://doi.org/10.1007/BF02179586

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