Ledrappier, Francois Some properties of absolutely continuous invariant measures on an interval. (English) Zbl 0487.28015 Ergodic Theory Dyn. Syst. 1, 77-93 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 76 Documents MSC: 28D05 Measure-preserving transformations 37A99 Ergodic theory Keywords:critical points; Bernoulli shift; ergodic f-invariant measure with positive entropy; Rohlin’s formula Citations:Zbl 0477.58020 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Ruelle, Amer. I. Math. 98 pp 289– (1975) [2] DOI: 10.1007/BF02584795 · Zbl 0432.58013 · doi:10.1007/BF02584795 [3] Rohlin, Usp. Mat. nauk. 22 pp 3– (1967) [4] none, Amer. Math. Soc. Trans. 39 pp 1– (1964) · Zbl 0154.15703 · doi:10.1090/trans2/039/01 [5] Rohlin, Izv. Akad. nauk. SSSR Ser. Mat. 25 pp 499– (1961) [6] none, Amer. Math. Soc. Trans. 10 pp 1– (1962) [7] Rohlin, Mat. Sb. 25 pp 107– (1949) [8] DOI: 10.1007/BF02757140 · Zbl 0304.28011 · doi:10.1007/BF02757140 [9] Pesin, Mat. Zametki 21 pp 29– (1977) [10] DOI: 10.1070/IM1976v010n06ABEH001835 · Zbl 0383.58012 · doi:10.1070/IM1976v010n06ABEH001835 [11] Pesin, Izv. Akad. nauk. SSSR Ser. Mat. 40 pp 1332– (1976) [12] DOI: 10.1007/BF02762673 · Zbl 0256.58006 · doi:10.1007/BF02762673 [13] Ornstein, Ergodic Theory, Randomness and Dynamical Systems (1974) [14] Misiurewicz, Absolutely continuous measures for certain maps of an interval (1979) · Zbl 0477.58020 [15] DOI: 10.1112/jlms/s2-16.3.568 · Zbl 0388.28020 · doi:10.1112/jlms/s2-16.3.568 [16] Ledrappier, Théorie ergodique (1976) [17] DOI: 10.1007/BF00533471 · doi:10.1007/BF00533471 [18] Jakobson, In Global Theory of Dynamical Systems (1980) [19] DOI: 10.1007/BF01174569 · doi:10.1007/BF01174569 [20] Szlenk, Some dynamical properties of certain mappings of an interval, part I and II (1980) [21] DOI: 10.1007/BF00538893 · Zbl 0415.28018 · doi:10.1007/BF00538893 [22] none, Russian Math. Surveys 27 pp 21– (1972) [23] Bunimovic, Nonlinear Waves (1979) [24] Sina?, Uspehi Mat. nauk 27 pp 21– (1972) [25] DOI: 10.1007/BF01389848 · Zbl 0311.58010 · doi:10.1007/BF01389848 [26] none, Func. Ana. Appl. 2 pp 64– (1968) [27] DOI: 10.1007/BF01941319 · Zbl 0421.28016 · doi:10.1007/BF01941319 [28] DOI: 10.1007/BF01075361 · Zbl 0182.55003 · doi:10.1007/BF01075361 [29] DOI: 10.1007/BF02759791 · Zbl 0377.28010 · doi:10.1007/BF02759791 [30] none, Amer. Math. Soc. Trans 68 pp 34– (1968) · Zbl 0213.34002 · doi:10.1090/trans2/068/03 [31] DOI: 10.1007/BF01389849 · Zbl 0306.58013 · doi:10.1007/BF01389849 [32] Sina?, Izv. Akad. nauk. SSSR Ser. Mat. 30 pp 15– (1966) [33] Benettin, Il nuovo Cimento 50 B pp 211– (1979) · doi:10.1007/BF02748874 [34] Ruelle, In Global Theory of Dynamical Systems (1980) [35] Ruelle, Characteristic exponents and invariant manifolds in Hilbert space (1980) · Zbl 0493.58015 [36] Ruelle, Publ. math. IHES 50 pp 27– (1979) · Zbl 0426.58014 · doi:10.1007/BF02684768 [37] DOI: 10.1111/j.1749-6632.1979.tb29485.x · doi:10.1111/j.1749-6632.1979.tb29485.x [38] none, Russian Math. Surveys 22 pp 1– (1967) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.