Ruelle, David An inequality for the entropy of differentiable maps. (English) Zbl 0432.58013 Bol. Soc. Bras. Mat. 9, No. 1, 83-87 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 175 Documents MSC: 37A99 Ergodic theory 28D20 Entropy and other invariants Keywords:strictly positive characteristic exponents; non-commutative ergodic theorem; upper bound for measure theoretic entropy of a differentiable map Citations:Zbl 0236.93034 PDF BibTeX XML Cite \textit{D. Ruelle}, Bol. Soc. Bras. Mat. 9, No. 1, 83--87 (1978; Zbl 0432.58013) Full Text: DOI OpenURL References: [1] R. Bowen and D. Ruelle,The ergodic theory of axiom A flows. Inventiones math.29, 181–202 (1975). · Zbl 0311.58010 [2] V. I. Oseledec,A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems, Trudy Moskov. Mat. Obsc.19, 179–210 (1968). English. Translation. Trans. Moscow Math. Soc.19, 197–231 (1968). [3] Ja. B. Pesin,Ljapunov characteristic exponents and ergodic properties of smooth dynamical systems with an invariant measure. Dokl. Akad. Naul. SSSR226 N.o4, 774–777 (1976). English translation. Soviet. Math. Dokl.17 N.o 1, 196–199 (1976). · Zbl 0345.58010 [4] M. S. Raghunathan,A proof of Oseledec’ multiplicative ergodic theorem. Unpublished. · Zbl 0415.28013 [5] D. Ruelle,A measure associated with axiom A atractors. Amer. J. Math.98, 619–654 (1976). · Zbl 0355.58010 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.