Fredholm Matrix and Zeta Functions for 1-Dimensional Mappings

  • Makoto Mori

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References

  1. 1.
    V.Baladi and G.Keller, Zeta functions and transfer operators for piecewise monotone transformations, Commun. Math. Phys. 127, (1990), 459–478.MathSciNetMATHCrossRefGoogle Scholar
  2. 2.
    F.Hofbauer and G.Keller, Zeta functions and transfer-operators for piecewise linear transformations, J. Refine Angew. Math. 352, (1984), 100–113.MathSciNetMATHCrossRefGoogle Scholar
  3. 3.
    M.Mori, On the decay of correlation for piecewise monotonic mappings I, Tokyo J. Math. 8, (1985), 389–414.MathSciNetMATHCrossRefGoogle Scholar
  4. 4.
    On the decay of correlation for piecewise monotonic mappings II, Tokyo J. Math. 9, (1986),135–161.MathSciNetMATHCrossRefGoogle Scholar
  5. 5.
    M.Mori, Fredholm determinant for piecewise linear transformations, Osaka J. Math. 27, (1990), 81–116.Google Scholar
  6. 6.
    M.Mori, Fredholm determinant for piecewise monotonic transformations Osaka J. Math. 29, (1992), 497–529.MathSciNetMATHGoogle Scholar
  7. 7.
    Takahashi, Fredholm determinant of unimodal linear maps, Sci. Papers of Coll. Gen. Ed. Univ. Tokyo 31, (1981), 61–87.MATHGoogle Scholar
  8. 8.
    One dimansional maps and power spectrum, Recent Studies on Turbulent Phenomena (1985), 99–116, Association for Science Documents Information, Tokyo.Google Scholar

Copyright information

© Plenum Press, New York 1995

Authors and Affiliations

  • Makoto Mori
    • 1
  1. 1.National Defense AcademyKanagawaJapan

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