An inequality for the entropy of differentiable maps. (English) Zbl 0432.58013


37A99 Ergodic theory
28D20 Entropy and other invariants


Zbl 0236.93034
Full Text: DOI


[1] R. Bowen and D. Ruelle,The ergodic theory of axiom A flows. Inventiones math.29, 181–202 (1975). · Zbl 0311.58010 · doi:10.1007/BF01389848
[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 Unpublished.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 · doi:10.2307/2373810
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