Abelian semi-groups of expanding maps

  • Richard Sacksteder
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 318)


Great Common Divisor Differentiable Dynamical System American Mathematical Society Translation Residue Class Modulo Lipschitz Continuous Derivative 
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  1. [1]
    American Mathematical Society, Proceedings of Symposia in Pure Mathematics, vol. 14, (1970).Google Scholar
  2. [2]
    Arnold, V.I., "Small denominators, I, on the mapping of a circle into itself", American Mathematical Society Translations, 2nd Series, vol. 46, pp. 213–284.Google Scholar
  3. [3]
    Furstenberg, H., "Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation", (especially part IV), Mathematical Systems Theory, vol. 1, (1967), pp. 1–49.MathSciNetzbMATHCrossRefGoogle Scholar
  4. [4]
    Hirsch, M.W., "Expanding maps and transformation groups", In Proceedings of Symposia in Pure Mathematics, vol. 14, (1970), pp. 125–131.CrossRefGoogle Scholar
  5. [5]
    Kcpell, N., "Commuting diffeomorphisms", In Proceedings of Symposia in Pure Mathematics, vol. 14, (1970), pp. 165–184.CrossRefGoogle Scholar
  6. [6]
    Moser, J., "A rapidly convergent iteration method and non-linear differential equations — II", Annali Scuola Normale Superiore di Pisa, Series 3, vol. 20, (1966), pp. 499–535.Google Scholar
  7. [7]
    Nitecki, Z., Differentiable Dynamics, The M.I.T. Press, (1971).Google Scholar
  8. [8]
    Sacksteder, R., "The measures invariant under an expanding map", to appear.Google Scholar
  9. [9]
    Sacksteder, R., "On convergence to invariant measures", to appear.Google Scholar
  10. [10]
    Shub, M., "Endomorphisms of compact differentiable manifolds", The American Journal of Mathematics, vol. 91, (1969), pp. 175–199.MathSciNetzbMATHCrossRefGoogle Scholar
  11. [11]
    Smale, S., "Differentiable dynamical systems", Bulletin of the American Mathematical Society, vol. 73, (1967), pp.747–817.MathSciNetzbMATHCrossRefGoogle Scholar
  12. [12]
    Sternberg, S., "Celestial Mechanics, Part II, W.A. Benjamin, Inc., New York, (1969).Google Scholar
  13. [13]
    Tischler, R., "Conjugacy problems for Rk actions", Dissertation, The City University of New York, (1970).Google Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • Richard Sacksteder
    • 1
  1. 1.Graduate CenterCity University of New YorkUSA

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