References
Abramov, L. M.: On the entropy of a flow. A.M.S. Translations49, 167–170 (1966)
Bowen, R.: Periodic points and measures for AxiomA diffeomorphisms. Trans. A.M.S.154, 377–397 (1971)
Bowen, R.: Periodic orbits for hyperbolic flows. Amer. J. Math.94, 1–30 (1972)
Bowen, R.: Symbolic dynamics for hyperbolic flows. Amer. J. Math.95, 429–459 (1973)
Bowen, R.: Maximizing entropy for a hyperbolic flow. Math. Systems Theory. To appear
Bowen, R.: Some systems with unique equilibrium states. Math. Systems Theory. To appear
Bowen, R.: Bernoulli equilibrium states for AxiomA diffeomorphisms. Math. Systems Theory. To appear
Bowen, R., Walters, P.: Expansive one-parameter flows. J. Diff. Equs.12, 180–193 (1972)
Bunimovič, L. A.: Imbedding of Bernoulli shifts in certain special flows (in Russian). Uspehi mat. Nauk28, 171–172 (1973)
Dinaburg, E. I.: On the relations among various entropy characteristics of dynamical systems. Math. USSR Izvestia5, 337–378 (1971)
Dobrušin, R. L.: Analyticity of correlation functions in one-dimensional classical systems with slowly decreasing potentials. Commun. math. Phys.32, 269–289 (1973)
Gurevič, B. M.: Some existence conditions forK-decompositions for special flows. Trans. Moscow Math. Soc.17, 99–128 (1967)
Hirsch, M., Palis, J., Pugh, C., Shub, M.: Neighborhoods of hyperbolic sets. Inventiones Math.9, 121–134 (1970)
Hirsch, M., Pugh, C.: Stable manifolds and hyperbolic sets. Proc. Symp. in Pure Math.14, 133–163 (1970)
Hirsch, M., Pugh, C., Shub, M.: Invariant manifolds. To appear
Livšic, A. N., Sinai, Ya. G.: On invariant measures compatible with the smooth structure for transitiveU-systems. Soviet Math. Dokl.13, 1656–1659 (1972)
Margulis, G. A.: Certain measures associated withU-flows on compact manifolds. Func. Anal. and its Appl.4, 55–67 (1970)
Pugh, C., Shub, M.: The Ω-stability theorem for flows. Inventiones math.11, 150–158 (1970)
Pugh, C.: Ergodicity of Anosov Actions. Inventiones math.15, 1–23 (1972)
Ratner, M.: Anosov flows with Gibbs measures are also Bernoullian. Israel J. Math. To appear
Ruelle, D.: Statistical Mechanics. New York: Benjamin 1969
Ruelle, D.: Statistical mechanics of a one-dimensional lattice gas. Commun. Math. Phys.9, 267–278 (1968)
Ruelle, D.: Statistical mechanics on a compact set with Zn action satisfying expansiveness and specification. Trans. A.M.S. To appear
Ruelle, D.: A measure associated with AxiomA attractors. Amer. J. Math. To appear
Sinai, Ya. G.: Markov partitions andY-diffeomorphisms. Func. Anal. and its Appl.2, 64–69 (1968)
Sinai, Ya. G.: Gibbs measures in ergodic theory. Russ. Math. Surveys166, 21–69 (1972)
Smale, S.: Differentiable dynamical systems. Bull. A.M.S.73, 747–817 (1967)
Walters, P.: A variational principle for the pressure of continuous transformations. Amer. J. Math. To appear
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Partially supported by NSF GP 14519.
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Bowen, R., Ruelle, D. The ergodic theory of AxiomA flows. Invent Math 29, 181–202 (1975). https://doi.org/10.1007/BF01389848
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DOI: https://doi.org/10.1007/BF01389848