Some remarks on recent results about S-unimodal maps

Franz Hofbauer; Gerhard Keller

Annales de l'I.H.P. Physique théorique (1990)

  • Volume: 53, Issue: 4, page 413-425
  • ISSN: 0246-0211

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Hofbauer, Franz, and Keller, Gerhard. "Some remarks on recent results about S-unimodal maps." Annales de l'I.H.P. Physique théorique 53.4 (1990): 413-425. <http://eudml.org/doc/76513>.

@article{Hofbauer1990,
author = {Hofbauer, Franz, Keller, Gerhard},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {unimodal map; Schwarzian derivative; attractor; invariant density},
language = {eng},
number = {4},
pages = {413-425},
publisher = {Gauthier-Villars},
title = {Some remarks on recent results about S-unimodal maps},
url = {http://eudml.org/doc/76513},
volume = {53},
year = {1990},
}

TY - JOUR
AU - Hofbauer, Franz
AU - Keller, Gerhard
TI - Some remarks on recent results about S-unimodal maps
JO - Annales de l'I.H.P. Physique théorique
PY - 1990
PB - Gauthier-Villars
VL - 53
IS - 4
SP - 413
EP - 425
LA - eng
KW - unimodal map; Schwarzian derivative; attractor; invariant density
UR - http://eudml.org/doc/76513
ER -

References

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  1. [BL1] A.M. Blokh and M. Yu. Lyubich, Attractors of maps of the interval, Funct. Anal. Appl., Vol. 21, 1987, pp. 70-71 (Russian). Zbl0653.58022MR902297
  2. [BL2] A.M. Blokh and M. Yu. Lyubich, Measurable Dynamics of S-Unimodal Maps of the Interval, Preprint, Stony Brook, 1990. 
  3. [GJ] J. Guckenheimer and S. Johnson, Distortion of S-Unimodal Maps, Ann. Math., Vol. 132, 1990, pp. 71-130. Zbl0708.58007MR1059936
  4. [Ho] F. Hofbauer, The Topological Entropy of the Transformation x ↦ ax (1 - x), Monatsh. Math., Vol. 90, 1980, pp. 117-141. Zbl0433.54009MR595319
  5. [HK] F. Hofbauer and G. Keller, Quadratic maps without asymptotic measure, Commun. Math. Phys., Vol. 127, 1990, pp. 319-337. Zbl0702.58034MR1037108
  6. [K] G. Keller, Exponents, Attractors, and Hopf Decompositions for Interval Maps, Preprint, 1988, to appear in Erg. Th. Dynam. Syst. MR1091423
  7. [Ma] M. Martens, Thesis, Delft, 1990. 
  8. [Mi] J. Milnor, On the Concept of Attractor, Commun. Math. Phys., Vol. 99, 1985, pp. 177-195. Zbl0595.58028MR790735

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