@article{PMIHES_1981__53__17_0, author = {Misiurewicz, Michal}, title = {Absolutely continuous measures for certain maps of an interval}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {17--51}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {53}, year = {1981}, mrnumber = {83j:58072}, zbl = {0477.58020}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1981__53__17_0/} }
TY - JOUR AU - Misiurewicz, Michal TI - Absolutely continuous measures for certain maps of an interval JO - Publications Mathématiques de l'IHÉS PY - 1981 SP - 17 EP - 51 VL - 53 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1981__53__17_0/ LA - en ID - PMIHES_1981__53__17_0 ER -
Misiurewicz, Michal. Absolutely continuous measures for certain maps of an interval. Publications Mathématiques de l'IHÉS, Tome 53 (1981), pp. 17-51. http://www.numdam.org/item/PMIHES_1981__53__17_0/
[1] Fonctions d'une variable réelle (Livre IV), Paris, Hermann, 1958 (chap. 1, § 4, exerc. Ia).
,[2] Sensitive dependence to initial conditions for one dimensional maps, preprint I.H.E.S. (1979). | MR | Zbl
,[3] Topological and metric properties of one-dimensional endomorphisms, Dokl. Akad. Nauk SSSR, 243 (1978), 866-869 (in Russian). | MR | Zbl
,[4] On iterated maps of the interval, preprint. | Zbl
, ,[5] Structure of mappings of an interval with zero entropy, Publ. Math. I.H.E.S., 53 (1981), 000-000. | EuDML | Numdam | MR | Zbl
,[6] Entropy of piecewise monotone mappings, Astérisque, 50 (1977), 299-310 (full version will appear in Studia Math., 67). | Numdam | MR | Zbl
, ,[7] Entropy and generators in ergodic theory, New York, Benjamin, 1969. | MR | Zbl
,[8] Symbolic dynamics and transformations of the unit interval, Trans. Amer. Math. Soc., 122 (1966), 368-378. | MR | Zbl
,[9] Strange attractors, chaotic behavior and information flow, preprint, Santa Cruz (1978). | Zbl
,[10] Stable orbits and bifurcation of maps of the interval, SIAM J. Appl. Math., 35 (1978), 260-267. | MR | Zbl
,