Abstract
We discuss relations between topological entropy, volume growth, and the growth in homology groups for a sequence of independent random smooth maps of a manifold.
Supported by U.S.A. - Israel B.S.F.
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References
M. Gromov, Entropy, homology and semialgebraic geometry (after Y. Yemdin), Séminaire Bourbaki 1985/86, Asterisque 145–146 (1987), 225–240.
Yu. Kifer, Ergodic theory of random transformations, Birkhäuser, Boston, 1986.
F. Ledrappier and P. Walters, A relativised variational principle for continuous transformations, J. London Math. Soc. (2), 16 (1977), 568–576.
S. Newhouse, Entropy and volume, Preprint.
F. Przytycki, An upper estimation for topological entropy of diffeomorphisms, Inventiones Math. 59, (1980), 205–213.
Y. Yomdin, Volume growth and entropy, Israel J. of Math. 57 (1987), 285–300.
Y. Yomdin, Ck-resolution of semialgebraic mappings. Addendum to Volume growth and entropy, Israel J. of Math. 57 (1987), 301–317.
Y. Yomdin, Integral geometry in smooth dynamics, to appear.
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© 1988 Springer-Verlag
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Kifer, Y., Yomdin, Y. (1988). Volume growth and topological entropy for random transformations. In: Alexander, J.C. (eds) Dynamical Systems. Lecture Notes in Mathematics, vol 1342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082842
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DOI: https://doi.org/10.1007/BFb0082842
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Print ISBN: 978-3-540-50174-9
Online ISBN: 978-3-540-45946-0
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