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Hölder continuity of the holonomy maps for hyperbolic basic sets I

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Ergodic Theory and Related Topics III

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1514))

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References

  1. M. Brin, Ya. Pesin, Partially hyperbolic dynamical systems, Izv.Acad.Nauk SSSR ser. mat. No.1 (1974), 170–212.

    Google Scholar 

  2. M. Brin, Yu. Kifer, Dynamics of Markov chains and stable manifolds for random diffeomorphisms, Ergodic Theory and Dyn. Syst. 7 (1987), 351–374

    Article  MathSciNet  MATH  Google Scholar 

  3. J. Schmeling, Holderexponenten fur die Holonomieabbildung von eindimensionalen hyperbolischen Attraktoren und der Zusammenhang zur lokalen Hausdorffdimension, Thesis 1990

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  4. S. Smale, Differentiable Dynamical Systems, Bull. Amer. Math. Soc. 73 (1967), 747–817

    Article  MathSciNet  MATH  Google Scholar 

  5. M. W. Hirsch, C. C. Pugh, Stable Manifolds and Hyperbolic Sets, Proc. Symp. Pure Math., Vol. XIV (1970), 133–163.

    Article  MathSciNet  MATH  Google Scholar 

  6. A. B. Katok, Local’nye svojstva giperboliceskych mnoshestv, in: Differentiable dynamics (by Z. Nitecki), russ. edition, Mir publishers, Moscow 1975, 214–232

    Google Scholar 

  7. H.-G. Bothe, Some remarks concerning the fractal dimensions of expanding attractors, Report K.-Weierstraß-Inst. f. Math. AdW der DDR, Berlin 1988

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Ulrich Krengel Karin Richter Volker Warstat

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© 1992 Springer-Verlag

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Schmeling, J., Siegmund-Schultze, R. (1992). Hölder continuity of the holonomy maps for hyperbolic basic sets I. In: Krengel, U., Richter, K., Warstat, V. (eds) Ergodic Theory and Related Topics III. Lecture Notes in Mathematics, vol 1514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097538

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  • DOI: https://doi.org/10.1007/BFb0097538

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  • Print ISBN: 978-3-540-55444-8

  • Online ISBN: 978-3-540-47076-2

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