Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Bowen, Rufus. Entropy for group endomorphisms and homogeneous spaces, Trans.Amer.Math.Soc.153 (1971), pp. 401–414.
Franks, John. Morse inequalities for zeta functions, Ann. of Math. 102 (1975) pp. 55–65.
_____. A reduced zeta function for diffeomorphisms, Amer. J. Math. 100 (1978) pp. 217–244.
Fried, David and Michael Shub. Entropy, linearity and chain-recurrence. To appear in Publ. I.H.E.S.
Halperin, Benjamin. Morse-Smale diffeomorphisms on tori. To appear in Topology.
Manning, Anthony. Axiom A diffeomorphisms have rational zeta functions. Bull. London Math Soc. 3 (1971) pp. 215–220.
_____. There are no new Anosov diffeomorphisms on tori. Amer. J. Math 96 (1974) pp. 422–429.
Misiurewicz, Michael and F. Przytycki, The entropy conjecture on tori, preprint.
Shub, Michael. Dynamical systems, filtrations and entropy. Bull. Amer. Math. Soc. 80 (1974) pp. 27–41.
Smale, Steve. Differentiable dynamical systems. Bull. Amer. Math Soc. 73 (1967) pp. 747–817.
Williams, R. F. The zeta function in global analysis. Proc. Symp. Pure Math XIV pp. 335–340.
_____ and Michael Shub. Entropy and stability, Topology 14 (1975) pp. 329–338.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this paper
Cite this paper
Fried, D. (1980). Efficiency vs. hyperbolicity on tori. In: Nitecki, Z., Robinson, C. (eds) Global Theory of Dynamical Systems. Lecture Notes in Mathematics, vol 819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086987
Download citation
DOI: https://doi.org/10.1007/BFb0086987
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10236-6
Online ISBN: 978-3-540-38312-3
eBook Packages: Springer Book Archive