References
P. Collet, J.-P. Eckmann, O. E. Landford III,Universal properties of maps of an interval, preprint.
M. Feigenbaum,Quantitative universality for a class of nonlinear transformation, preprint, Los Alamos.
L. Jonker,Periodic orbits and kneading invariants, preprint, Warwick, June 1977.
N. Metropolis, M. L. Stein, P. R. Stein, On finite limit sets for transformations on the unit interval,Journal of Combinatorial Theory (A),15 (1973), 25–44.
J. Milnor,The theory of kneading, preprint.
M. Misiurewicz, Horsehoes for mappings of the interval,Bull. Acad. Pol. Sci., Sér. sci. math.,27 (1979), 167–169.
M. Misiurewicz, Invariant measures for continuous transformations of [0, 1] with zero topological entropy, Ergodic Theory, Proceedings, Oberwolfach, Germany, 1978,Lecture Notes in Math.,729, 144–152.
M. Misiurewicz, W. Szlenk, Entropy of piecewise monotone mappings,Astérisque,50 (1977), 299–310 (full version will appear inStudia Math.,67).
D. Singer, Stable orbits and bifurcation of maps of the interval,SIAM J. Appl. Math.,35 (1978), 260–267.
A. N. Šarkovskiî, Coexistence of cycles of a continuous map of a line into itself,Ukr. Mat. Žurnal,16 (1964), 1, 61–71 (in Russian).
P. Štefan, A theorem of Šarkovskiî on the existence of periodic orbits of continuous endomorphism of the real line,Commun. Math. Phys.,54 (1977), 237–248.
Author information
Authors and Affiliations
Additional information
This paper was written in part during a visit to the Institut des Hautes Études Scientifiques at Bures-sur-Yvette.
About this article
Cite this article
Misiurewicz, M. Structure of mappings of an interval with zero entropy. Publications Mathématiques de L’Institut des Hautes Scientifiques 53, 5–16 (1981). https://doi.org/10.1007/BF02698685
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02698685