Entropie et itinéraires des applications unimodales de l'intervalle

J.-C. Marcuard; B. Schmitt

Annales de l'I.H.P. Probabilités et statistiques (1983)

  • Volume: 19, Issue: 4, page 351-367
  • ISSN: 0246-0203

How to cite

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Marcuard, J.-C., and Schmitt, B.. "Entropie et itinéraires des applications unimodales de l'intervalle." Annales de l'I.H.P. Probabilités et statistiques 19.4 (1983): 351-367. <http://eudml.org/doc/77218>.

@article{Marcuard1983,
author = {Marcuard, J.-C., Schmitt, B.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {topological entropy of unimodal map},
language = {fre},
number = {4},
pages = {351-367},
publisher = {Gauthier-Villars},
title = {Entropie et itinéraires des applications unimodales de l'intervalle},
url = {http://eudml.org/doc/77218},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Marcuard, J.-C.
AU - Schmitt, B.
TI - Entropie et itinéraires des applications unimodales de l'intervalle
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1983
PB - Gauthier-Villars
VL - 19
IS - 4
SP - 351
EP - 367
LA - fre
KW - topological entropy of unimodal map
UR - http://eudml.org/doc/77218
ER -

References

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  1. [1] P. Collet, J.-P. Eckmann, Iterated maps on the interval as dynamical systems. Progress in Physics. Birkhauser, Boston, 1980. Zbl0458.58002MR613981
  2. [2] J. Milnor, W. Thurston, On iterated maps on the interval I and II. Handwritten notes. Zbl0664.58015
  3. [3] L. Jonker, D. Rand, Bifurcation in one dimension I and II. Preprint. Zbl0475.58015
  4. [4] L. Jonker, D. Rand, A lower bound for the entropy of certain maps of the unit interval. Preprint. Zbl0437.58017
  5. [5] M. Misiurewicz, W. Szlenk, Entropy of piecewise monotone mappings. Studia Math., t. 67, 1980, p. 45-63. Zbl0445.54007MR579440
  6. [6] A. Lasota, J.A. Yorke, On the existence of invariant measures for piecewise monotomic transformations. Trans. A. M. S., t. 183, 1973, p. 481-485. Zbl0298.28015MR335758
  7. [7] F. Ledrappier, Some properties of absolutely continues invariant measures on an interval. Zbl0487.28015
  8. [8] Matsumoto Shigenori, On the bifurcation of Periodic Points of one dimensional dynamical systems of a certain kind. Preprint. Zbl0542.58019

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