Monotonicity properties of some skew tent maps

J. C. Marcuard; E. Visinescu

Annales de l'I.H.P. Probabilités et statistiques (1992)

  • Volume: 28, Issue: 1, page 1-29
  • ISSN: 0246-0203

How to cite

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Marcuard, J. C., and Visinescu, E.. "Monotonicity properties of some skew tent maps." Annales de l'I.H.P. Probabilités et statistiques 28.1 (1992): 1-29. <http://eudml.org/doc/77422>.

@article{Marcuard1992,
author = {Marcuard, J. C., Visinescu, E.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {unimodal maps; tent maps; topological entropy; kneading sequences},
language = {eng},
number = {1},
pages = {1-29},
publisher = {Gauthier-Villars},
title = {Monotonicity properties of some skew tent maps},
url = {http://eudml.org/doc/77422},
volume = {28},
year = {1992},
}

TY - JOUR
AU - Marcuard, J. C.
AU - Visinescu, E.
TI - Monotonicity properties of some skew tent maps
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1992
PB - Gauthier-Villars
VL - 28
IS - 1
SP - 1
EP - 29
LA - eng
KW - unimodal maps; tent maps; topological entropy; kneading sequences
UR - http://eudml.org/doc/77422
ER -

References

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  1. [B-M-T] K. Brucks, M. Misiurewicz and C. Tresser, Monotonicity Properties of the Family of Trapezoidal maps, Preprint, 1989. Zbl0721.58017MR1099253
  2. [C-E] P. Collet and J.P. Eckmann, Iterated Maps on the Interval as Dynamical Systems, Birkhauser, Boston, 1980. Zbl0458.58002MR613981
  3. [D] A. Douady, Systèmes dynamiques holomorphes, Séminaires Bourbaki, No. 599, 1982/1983. Zbl0532.30019MR728980
  4. [J-R] L. Jonker and D. Rand, Bifurcations in One Dimension I and II, Invent. Math., Vol. 62-63, 1981. Zbl0475.58015
  5. [D-G-P-] B. Derrida, A. Gervois and Y. Pomeau, Iteration of Endomorphismes of the Real Axis and Representations of Numbers, Ann. Inst. H. Poincaré, Vol. 29, 1978, p. 305. Zbl0416.28012MR519698
  6. [M] M. Misiurewicz, Jumps of Entropy in One Dimension, Fundamenta Math., Vol. 132, 1989, p. 215-226. Zbl0694.54019MR1002409
  7. [M-S] J.C. Marcuard and B. Schmitt, Entropie et itinéraires des applications unimodales de l'intervalle, Ann. Inst. H. Poincaré, Vol. 19, No. 4, 1983. Zbl0536.54011
  8. [M-V] M. Misiurewicz and E. Visinescu, Kneading Sequences of Skew Tent Maps, Ann. Inst. H. Poincaré, Vol. 27, No. 1, 1991. Zbl0715.58029MR1098567

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