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Термодинамический формализм - Рюэль Д.

Рюэль Д. Термодинамический формализм — Ижевск, 1995. — 281 c.
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[4] «Invariant measures and equilibrium states for some mappings which expand distances», Trans. Amer. Math. Soc., to appear.

R. F. Williams

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Литература к главам 8 и 9

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[3] V. Baladi, «Dynamical zeta functions», Real and Complex Dynamical Systems (B. Branner and P. Hjorth, eds.), Kluwer Academic Publishers (to be published).

[4] V. Baladi and G. Keller, «Zeta functions and transfer operators for piecewise monotone transformations», Comm. Math. Phys. 127 (1990), 459^177.

[5] V. Baladi and D. Ruelle, «An extension of the theorem of Milnor and Thurston on zeta functions of interval maps», Ergodic Theory Dynamical Systems (to appear).
Литература 285

[6] — , Some properties of zeta functions associated with maps in one dimension (in preparation).

[7] P. Billingsley, Ergodic Theory and Information, John Wiley, New York, 1965.

[8] R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, LectureNotes in Math. vol. 470, Springer-Verlag, Berlin, 1975.

[9] R. Bowen and 0. E. Lanford, «Zeta functions of restrictions of the shift transformation», Global Analysis, Proc. Symp. Pure Math. vol. 14, Amer. Math. Soc., Providence, R. I. (1975), pp. 43-49.

[10] G. Choquet and P.-A. Meyer, «Existence et unicite des representations integrates dans Ies convexes compacts quelconques», Ann. Inst. Fourier (Grenoble) 13 (1963), 139-154.

[11] M. Denker, C. Grillenberger and K. Sigmund, Ergodic theory on compact spaces, LectureNotes in Math. vol. 527, Springer-Verlag, Berlin, 1976.

[12] D. Fried, «The zeta functions of Ruelle and Selberg I», Ann. Sci. Ecole Norm. Sup. (4) 19 (1986), 491-517.

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[14] — , The flat-trace asymptotics of a uniform system of contractions (Preprint).

[15] A. Grothendieck, «Produits tensoriels topologiques et espaces nucleai-res», Mem. Amer. Math. Soc. vol. 16, Providence, R. I., 1955.

[16] — , «La theorie de Fredholm», Bull. Soc. Math. France 84 (1956), 319-384.

[17] J. Guckenheimer, «Axiom A + no cycles =>• (f(t) rational», Bull. Amer. Math. Soc. 76 (1970), 592-594.

[18] V. Guillemin and Sh. Sternberg, «Geometric asymptotics», Math. Surveys vol. 14, Amer. Math. Soc., Providence, R. I., 1977.

[19] N. Flaydn, «Meromorphic extension of the zeta function for Axiom A flows», Ergodic Theory Dynamical Systems 10 (1990), 347-360.

[20] F. Flofbauer, «Piecewise invertible dynamical systems», Probab. Theor. Relat. Fields 72 (1986), 359-386.
286

Литература

[21] F. Hofbauer and G. Keller, «Zeta-functions and transfer-operators for piecewise linear transformations», J. ReineAngew. Math. 352 (1984), 100-113.

[22] G. Keller and T. Nowicki, «Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps», Comm. Math. Phys. 149(1992),31-69.

[23] G. Levin, M. Sodin and P. Yuditskii, «А Ruelle operator for a real Julia set», Comm. Math. Phys. 141 (1991), 119-131.

[24] — , «Ruelle operators with rational weights for Julia sets», J. Analyse Math, (to appear).

[25] A. Manning, «Axiom A diffeomorphisms have rational zeta functions», Bull. London Math. Soc. 3 (1971), 215-220.

[26] M. Martens, Interval dynamics, Thesis, Delft, 1990.

[27] D. Mayer, «Continued fractions and related transformations», Ergodic Theory, Symbolic Dynamics and Hyperbolic Spaces (T. Bedford, M. Keane, C. Series, eds.) OxfordUniversity Press, Oxford, 1991.

[28] W. de Melo, «Lectures on one-dimensional dynamics», 17e Coloquio Brasileiro de Matematica, Rio de Janeiro.

[29] J. Milnor and W. Thurston, On iterated maps of the interval, Dynamical Systems, Lecture Notes in Mathematics vol. 1342, Springer, Berlin, 1988, pp. 465-563.

[30] Nihon Sugakkai, ed., Encyclopedic Dictionary of Mathematics, MIT Press, Cambridge, Mass., 1977.

[31] R. D. Nussbaum, «The radius of the essential spectrum», Duke Math. J. 37 (1970),473^178.

[32] W. Parry and M. Pollicott, «An analogue of the prime number theorem for closed orbits of Axiom A flows», Ann. of Math. (2) 118 (1983), 573-591.

[33] — , «Zeta Functions and the Periodic Orbit Structure of Hyperbolic Dynamics», Societe Mathematique de France (Asterisque vol. 187-188), Paris, 1990.

[34] C. J. Preston, Iterates of maps on an interval, Lecture Notes in Mathematics vol. 999, Springer, Berlin, 1983.

[35] D. Ruelle, «Statistical mechanics on a compact set with Zv action satisfying expansiveness and specification», Bull. Amer. Math. Soc. 78 (1972), 988-991; Trans. AMS 185 (1973), 237-251.
Литература

287

[36] — , «Zeta functions and statistical mechanics», Asterisque 40 (1976), 167-176.
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