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Entropy of a differentiable map. (English) Zbl 0414.58027


MSC:

37A30 Ergodic theorems, spectral theory, Markov operators
57R50 Differential topological aspects of diffeomorphisms
58A14 Hodge theory in global analysis
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References:

[1] Bowen, R., Entropy for group endomorphisms and homogeneous spaces, Transl. Amer. Math. Soc., 153, 401-414 (1971) · Zbl 0212.29201
[2] Buseman, H., Intrinsic area, Ann. of Math., 48, 234-267 (1947) · Zbl 0029.35301
[3] Manning, A., Topological entropy and the first homology group, (Manning, A., Dynamical Systems. Dynamical Systems, Springer-Verlag, Lecture Notes in Mathematics, No. 468 (1975), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York), 185-190, (Proc. Conf. Warwick, 1974)
[4] Pugh, C., On the entropy conjecture, (Manning, A., Dynamical Systems. Dynamical Systems, Springer-Verlag Lecture Notes in Mathematics, No. 468 (1975)), 257-261, Berlin/Heidelberg/New York
[5] Shub, M., Dynamical systems, filtrations, and entropy, Bull. Amer. Math. Soc., 80, 27-41 (1974) · Zbl 0305.58014
[6] Shub, M.; Williams, R. F., Entropy and stability, Topology, 14, 329-338 (1975) · Zbl 0329.58010
[7] Warner, F. W., Foundations of Differentiable Manifolds and Lie Groups (1971), Scott, Foresman: Scott, Foresman Glenview, Ill./London · Zbl 0241.58001
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