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ArticleOriginal scientific text

Title

Bounds for maps of an interval with one reflecting critical point. I

Authors 1

Affiliations

  1. Institute of Mathematics, Hebrew University, Givat Ram 91904, Jerusalem, Israel

Abstract

We prove real bounds for interval maps with one reflecting critical point.

Bibliography

  1. [LS1] G. Levin and S. van Strien, Bounds for maps of an interval with one reflecting critical point. II, in preparation.
  2. [LS2] G. Levin and S. van Strien, Total disconnectedness of the Julia set of real polynomials, preprint IHES, 1996/68 (1996).
  3. [LS3] G. Levin and S. van Strien, Local connectivity of the Julia set of real polynomials, Ann. of Math., to appear.
  4. [Ma] M. Martens, Interval dynamics, thesis, Delft, 1990.
  5. [MS] V. de Melo and S. van Strien, One-Dimensional Dynamics, Ergeb. Math. Grenzgeb. 25, Springer, 1993.
  6. [S] D. Sullivan, Bounds, quadratic differentials, and renormalization conjectures, in: AMS Centennial Publications, Vol. II, Amer. Math. Soc., 1992, 417-466.
Fundamenta Mathematicae
1998/157/2-3
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Pages:
287-298
Main language of publication
English
Received
1997-11-10
Accepted
1997-11-30
Published
1998
Exact and natural sciences