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Transactions of the American Mathematical Society

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Which families of $l$-modal maps are full?


Authors: R. Galeeva and S. van Strien
Journal: Trans. Amer. Math. Soc. 348 (1996), 3215-3221
MSC (1991): Primary 58Fxx, 34Cxx, 30-xx
DOI: https://doi.org/10.1090/S0002-9947-96-01636-4
MathSciNet review: 1355297
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Abstract: In this paper we shall show that certain conditions which are sufficient for a family of one-dimensional maps to be full cannot be dispensed with.


References [Enhancements On Off] (What's this?)

  • [C.E.] Pierre Collet and Jean-Pierre Eckmann, Iterated maps on the interval as dynamical systems, Progress in Physics, vol. 1, Birkhäuser, Boston, Mass., 1980. MR 613981
  • [M.T.] J. Milnor and W. Thurston: On iterated maps of the interval: I,II. In: ``Dynamical Systems: Proc. Univ, of Maryland 1986-87'', Lecture Notes in Mathematics 1342, (1988), 465--563. MR 90a:98083
  • [M.S.] Welington de Melo and Sebastian van Strien, One-dimensional dynamics, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 25, Springer-Verlag, Berlin, 1993. MR 1239171

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Additional Information

R. Galeeva
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60201
Address at time of publication: UMR 129 CNRS UNSA, 1361 Route des Lucioles Sophia Antipolis, 06560 Valbonne, France
Email: galeeva@doublon.unice.fr

S. van Strien
Affiliation: Department of Mathematics, University of Amsterdam, Amsterdam, The Netherlands
Email: strien@fwi.uva.nl

DOI: https://doi.org/10.1090/S0002-9947-96-01636-4
Keywords: One-dimensional dynamics
Received by editor(s): June 6, 1994
Received by editor(s) in revised form: September 21, 1995
Article copyright: © Copyright 1996 American Mathematical Society