Hofbauer, Franz On intrinsic ergodicity of piecewise monotonic transformations with positive entropy. (English) Zbl 0422.28015 Isr. J. Math. 34, 213-237 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 71 Documents MSC: 28D20 Entropy and other invariants 28D10 One-parameter continuous families of measure-preserving transformations Keywords:intrinsic ergodicity; piecewise monotonic transformations; positive entropy; maximal entropy; maximal measures; supports; topologically transitive PDF BibTeX XML Cite \textit{F. Hofbauer}, Isr. J. Math. 34, 213--237 (1979; Zbl 0422.28015) Full Text: DOI References: [1] Breiman, L., Probability (1968), Reading, Mass.: Addison-Wesley, Reading, Mass. · Zbl 0174.48801 [2] F. Hofbauer,Schifträume und Gleichgewichtszustände, Dissertation, Wien, 1976. [3] F. Hofbauer, β-shifts have unique maximal measure, to appear in Monatsh. Math. · Zbl 0384.28009 [4] Kreiger, W., On the equilibrium state, Math. Systems Theory, 8, 97-104 (1974) [5] Parry, W., On β-extensions of real numbers, Acta Math., 11, 401-416 (1960) · Zbl 0099.28103 [6] Takahashi, Y., Isomorphism of β-automorphisms to Markov automorhpisms, Osaka J. Math., 10, 175-184 (1973) · Zbl 0268.28006 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.