Which families of $l$-modal maps are full?
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- by R. Galeeva and S. van Strien PDF
- Trans. Amer. Math. Soc. 348 (1996), 3215-3221 Request permission
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
- 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
- John W. Green, Harmonic functions in domains with multiple boundary points, Amer. J. Math. 61 (1939), 609–632. MR 90, DOI 10.2307/2371316
- 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, DOI 10.1007/978-3-642-78043-1
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
- Received by editor(s): June 6, 1994
- Received by editor(s) in revised form: September 21, 1995
- © Copyright 1996 American Mathematical Society
- 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