Bounds for maps of an interval with one reflecting critical point. I
Levin, Genadi.
Fundamenta Mathematicae, Tome 158 (1998), p. 287-298 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:212293 
@article{bwmeta1.element.bwnjournal-article-fmv157i2p287bwm,
     author = {Genadi. Levin},
     title = {Bounds for maps of an interval with one reflecting critical point. I},
     journal = {Fundamenta Mathematicae},
     volume = {158},
     year = {1998},
     pages = {287-298},
     zbl = {0915.58028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv157i2p287bwm}
}

Levin, Genadi. Bounds for maps of an interval with one reflecting critical point. I. Fundamenta Mathematicae, Tome 158 (1998) pp. 287-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv157i2p287bwm/

[00000] [LS1] G. Levin and S. van Strien, Bounds for maps of an interval with one reflecting critical point. II, in preparation.

[00001] [LS2] G. Levin and S. van Strien, Total disconnectedness of the Julia set of real polynomials, preprint IHES, 1996/68 (1996).

[00002] [LS3] G. Levin and S. van Strien, Local connectivity of the Julia set of real polynomials, Ann. of Math., to appear. | Zbl 0941.37031

[00003] [Ma] M. Martens, Interval dynamics, thesis, Delft, 1990.

[00004] [MS] V. de Melo and S. van Strien, One-Dimensional Dynamics, Ergeb. Math. Grenzgeb. 25, Springer, 1993. | Zbl 0791.58003

[00005] [S] D. Sullivan, Bounds, quadratic differentials, and renormalization conjectures, in: AMS Centennial Publications, Vol. II, Amer. Math. Soc., 1992, 417-466. | Zbl 0936.37016