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The entropy of polynomial diffeomorphisms of C2

Published online by Cambridge University Press:  19 September 2008

John Smillie
John Smillie
Affiliation:
Department of Mathematics, Cornell University, Ithaca NY 14853, USA
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In this note we answer a question raised by Friedland and Milnor in [FM] concerning the topological entropy of polynomial diffeomorphisms of C2.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 4 , December 1990 , pp. 823 - 827
Copyright
Copyright © Cambridge University Press 1990

References

REFERENCES

[B]Bowen, R.. Topological entropy and axiom A. Proc. Symp. Pure Math. 14 Amer. Math. Soc. (1970), 23–41.CrossRefGoogle Scholar
[DN]Devaney, R. & Nitecki, Z.. Shift automorphisms in the Henon map. Comm. Math. Phys. 67 (1979), 137–146.CrossRefGoogle Scholar
[FM]Friedland, S. & Milnor, J.. Dynamical properties of plane polynomial automorphisms. Ergod. Th. & Dynam. Sys. 9 (1989), 67–99.CrossRefGoogle Scholar
[G]Gromov, M.. Entropy homology and semialgebraic geometry (after Y. Yomdin). Seminaire N. Bourbaki 663 (1985–1986).Google Scholar
[HO]Hubbard, J. H. & Oberste-Vorth, R.. Hénon mappings in the complex domain. In preparation.Google Scholar
[Y]Yomdin, Y.. Volume growth and entropy. Israel J. Math. 57 (1987), 285–300.CrossRefGoogle Scholar