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Dynamical Zeta Functions for Maps of the Interval
Author(s):
David
Ruelle
Journal:
Bull. Amer. Math. Soc.
30
(1994),
212-214.
MSC (1991):
Primary 58F20, 58F03;
Secondary 58F11
MathSciNet review:
1246470
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References |
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Additional information
References:
- [1]
- V. Baladi and G. Keller, Zeta functions and transfer operators for piecewise monotone transformations, Commun. Math. Phys. \textbf{127} (1990), 459--477. MR 1040891
- [2]
- V. Baladi and D. Ruelle, Some properties of zeta functions associated with maps in one dimension, in preparation. MR
- [3]
- N. Haydn, Meromorphic extension of the zeta function for Axiom $A$ flows, Ergodic Theory Dynamical Systems \textbf{10} (1990), 347--360. MR 1062762
- [4]
- F. Hofbauer, Piecewise invertible dynamical systems, Probab. Theory Related Fields \textbf{72} (1986), 359--386. MR 843500
- [5]
- F. Hofbauer and G. Keller, Zeta-functions and transfer-operators for piecewise linear transformations, J. Reine Angew. Math. \textbf{352} (1984), 100--113. MR 758696
- [6]
- G. Keller and T. Nowicki, Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps, Commun. Math. Phys. \textbf{149} (1992), 31--69. MR 1182410
- [7]
- J. Milnor and W. Thurston, \emph{On iterated maps of the interval}, Springer, Berlin, 1988 pp.~465--563. MR 970571
- [8]
- D. Ruelle, Zeta-functions for expanding maps and Anosov flows, Invent. Math. \textbf{34} (1976), 231--242. MR 420720
- [9]
- , Analytic completion for dynamical zeta functions, Helv. Phys. Acta. \textbf{66} (1993), 181--191. MR 1218071
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Additional Information:
DOI:
10.1090/S0273-0979-1994-00489-6
PII:
S 0273-0979(1994)00489-6
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