A Reduced Zeta Function for Diffeomorphisms
Publications mathématiques et informatique de Rennes (1975)
- Issue: S4, page 1-39
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topFranks, John M.. "A Reduced Zeta Function for Diffeomorphisms." Publications mathématiques et informatique de Rennes (1975): 1-39. <http://eudml.org/doc/274795>.
@article{Franks1975,
author = {Franks, John M.},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {S4},
pages = {1-39},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {A Reduced Zeta Function for Diffeomorphisms},
url = {http://eudml.org/doc/274795},
year = {1975},
}
TY - JOUR
AU - Franks, John M.
TI - A Reduced Zeta Function for Diffeomorphisms
JO - Publications mathématiques et informatique de Rennes
PY - 1975
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - S4
SP - 1
EP - 39
LA - eng
UR - http://eudml.org/doc/274795
ER -
References
top- 1. M. Artin and B. Mazur, On Periodic Points, Annals of Math. (2) 81(1965), 82-99. Zbl0127.13401MR176482
- 2. R. Bowen, Topological Entropy and Axiom A, Proc. Sympos. Pure Math.14, Amer. Math. Soc., Providence, R. I., 23-42. Zbl0207.54402MR262459
- 3. A. Dold, Fixed Point Index and Fixed Point Theorem for Euclidean Neighborhood Retracts, Topology4(1965), 1-8. Zbl0135.23101MR193634
- 4. J. Franks, Morse Inequalities for Zeta Functions, to appear In Annals of Math. Zbl0307.58016MR385929
- 5. J. Guckenheimer, Axiom A and no cycles Imply rational, Bull. Amer. Math. Soc.76(1970), 592-594. Zbl0196.27002MR254871
- 6. M. Hirsch and C. Pugh, Stable Manifolds and Hyperbolic Sets, Proc. Symp. Pure Math.14(1970), 133-163. Zbl0215.53001MR271991
- 7. S. Lang, Algebra, Addison-Wesley, 1965. Zbl0848.13001MR197234
- 8. A. Manning, Axiom A diffeomorphisms have rational zeta functions, Bull. London Math. Soc.3(1971), 215-220. Zbl0219.58007MR288786
- 9. M. Shub, Structurally Stable Diffeomorphisms are Dense, Bull. A.M.S.78(1972), 817. Zbl0265.58003MR307278
- 10. M. Shub and R. Williams, Entropy and Stability, to appear. Zbl0329.58010MR415680
- 11. S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc., 73(1967), 747-817. Zbl0202.55202MR228014
- 12. S. Smale, The Ω-stability Theorem, Proc Symp. Pure Math., 14(1970), 289-297. Zbl0205.54104MR271971
- 13. S. Smale, Stability and Isotopy in Discrete Dynamical Systems, Proceedings of the Symposium on Dynamical Systems, Salvador, Brazil, Academic Press, 1971. Zbl0284.58013MR339222
- 14. R. F. Williams, The Zeta function of an attractor, Conference on the Topology of Manifolds (Michigan State 1967), Prindle, Weber and Schmidt, 1968. Zbl0179.51902MR235573
- 15. R. F. Williams, Classification of subshifts of finite type, Annals of Math.98(1973), 120-153. Zbl0282.58008MR331436
- 16. E. C. Zeeman, C° Density of Stable Diffeomorphisms and Flows, University of SouthamptonColloquium on Smooth Dynamical Systems, 1972 (mimeographed notes).
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