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

Genadi. Levin

Fundamenta Mathematicae (1998)

  • Volume: 157, Issue: 2-3, page 287-298
  • ISSN: 0016-2736

Abstract

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

How to cite

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Levin, Genadi.. "Bounds for maps of an interval with one reflecting critical point. I." Fundamenta Mathematicae 157.2-3 (1998): 287-298. <http://eudml.org/doc/212293>.

@article{Levin1998,
abstract = {We prove real bounds for interval maps with one reflecting critical point.},
author = {Levin, Genadi.},
journal = {Fundamenta Mathematicae},
keywords = {interval maps; reflecting critical point; real bounds; renormalizable and nonrenormalizable map},
language = {eng},
number = {2-3},
pages = {287-298},
title = {Bounds for maps of an interval with one reflecting critical point. I},
url = {http://eudml.org/doc/212293},
volume = {157},
year = {1998},
}

TY - JOUR
AU - Levin, Genadi.
TI - Bounds for maps of an interval with one reflecting critical point. I
JO - Fundamenta Mathematicae
PY - 1998
VL - 157
IS - 2-3
SP - 287
EP - 298
AB - We prove real bounds for interval maps with one reflecting critical point.
LA - eng
KW - interval maps; reflecting critical point; real bounds; renormalizable and nonrenormalizable map
UR - http://eudml.org/doc/212293
ER -

References

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  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. Zbl0941.37031
  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. Zbl0791.58003
  6. [S] D. Sullivan, Bounds, quadratic differentials, and renormalization conjectures, in: AMS Centennial Publications, Vol. II, Amer. Math. Soc., 1992, 417-466. Zbl0936.37016

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