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Upper estimates for the hausdorff dimension of negatively invariant sets of local cocycles

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References

  1. G. A. Leonov, Vestn. Leningr. Gos. Univ. Ser. 1 3, 41–44 (1991).

    MathSciNet  Google Scholar 

  2. G. A. Leonov and V. A. Boichenko, Acta Appl. Math. 26, 1–60 (1992).

    Article  MathSciNet  MATH  Google Scholar 

  3. G. A. Leonov, Algebra Anal. 13(3), 155–170 (2001).

    MathSciNet  Google Scholar 

  4. V. A. Boichenko, G. A. Leonov, and V. Reitmann, Dimension Theory for Ordinary Differential Equations (Vieweg-Teubner, Wiesbaden, 2005).

    MATH  Google Scholar 

  5. G. A. Leonov, Strange Attractors and Classical Stability Theory (St. Petersburg Univ. Press, St. Petersburg, 2008).

    Google Scholar 

  6. D. R. Wakeman, J. Differ. Equations 17, 259–295 (1975).

    Article  MathSciNet  MATH  Google Scholar 

  7. H. Crauel and F. Flandoli, J. Dyn. Differ. Equations 10, 449–474 (1998).

    Article  MathSciNet  MATH  Google Scholar 

  8. P. E. Kloeden and D. Stonier, Dyn. Discrete, Continuous Impulsive Syst., No. 4, 221–226 (1998).

  9. W. A. Veech, J. Modern Dyn. 2, 375–395 (2008).

    MathSciNet  MATH  Google Scholar 

  10. M. V. Bebutov, Byull. Mekh.-Mat. Fak. Mosk. Gos. Univ., No. 5, 1–52 (1941).

  11. O. E. Røssler, Z. Naturforsch. A 31, 1664–1670 (1976).

    Google Scholar 

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Correspondence to G. A. Leonov.

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Original Russian Text © G.A. Leonov, V. Reitmann, A.S. Slepukhin, 2011, published in Doklady Akademii Nauk, 2011, Vol. 439, No. 6, pp. 736–739.

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Leonov, G.A., Reitmann, V. & Slepukhin, A.S. Upper estimates for the hausdorff dimension of negatively invariant sets of local cocycles. Dokl. Math. 84, 551–554 (2011). https://doi.org/10.1134/S1064562411050103

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