References
Abramov, L.M.: On the entropy of a flow. Trasl. Am. Math. Soc.49, 167–170 (1966)
Bowen, R.: Periodic orbits for hyperbolic flows. Am. J. Math.94, 1–30 (1972)
Bowen, R.: Symbolic dynamics for hyperbolic flows. Am. J. Math.95, 429–459 (1973)
Bowen, R.: Equilibrium states and the ergodic theory of Anosov diffeomorphisms. (Lect. Notes Math., vol. 470) Berlin Heidelberg New York: Springer 1975
Bowen, R., Ruelle, D.: The Ergodic Theory of Axiom A flows. Invent. Math.29, 181–202 (1975)
Dinaburg, E.I.: On the relations among various entropy characteristics of dynamical systems. Math. USSR Izv.5, 337–378 (1971)
Kadison, R.V., Ringrose, J.R.: Fundamentals of the theory of operator algebras, vol. 1. London New York: Academic Press 1983
Katok, A., Knieper, G., Weiss, H.: Regularity of topological entropy. (to appear)
Katok, A., Knieper, G., Pollicott, M., Weiss, H.: Differentiability and Analyticity of topological entropy for Anosov and Geodesic flows. Invent. Math.98, 581–597 (1989)
Knieper, G.: Measure theoretic entropy is twice differentiable at locally symmetric spaces of negative curvature. (unpublished)
Knieper, G., Weiss, H.: Regularity of measure theoretic entropy for geodesic flows of negative curvature. Invent. Math.95, 579–589 (1989)
Lang, S.: Analysis II. Reading, MA: Addison-Wesley 1969
Llave, R. de la, Marco, J., Moriyon, R.: Canonical perturbation theory of Anosov systems and regularity results for Livsic cohomology equation. Ann. Math.123, 537–611 (1986)
Manning, A.: A relation between Lyapunov exponents, Hausdorff dimension and entropy. Ergodic Theory Dyn. Syst.1, 451–459 (1981)
Mañé, R.: The Hausdorff dimension of horseshoes of diffeomorphims of surfaces. Bol. Soc. Bras. Mat.20 (No. 2), 1–24 (1990)
Margulis, G.: Certain measures associated with U-flows on compact manifolds. Funct. Anal. Appl.4 (no. 1), 55–67 (1969)
Misiurewicz, M.: On non-continuity of topological entropy. Bull. Acad. Pol. Sci., Ser. Sci. Math. Astron. Phys.19 (no. 4), 319–320 (1971)
Misiurewicz, M.: Diffeomorphisms without any measure with maximal entropy. Bull. Acad. Pol. Sci, Ser. Sci. Astron. Phys.21 (no. 10), 903–910 (1973)
Newhouse, S.: Continuity properties of entropy. Ergodic Theory Dyn. Syst. Conley Memorial issue vol.8 *, 283–300 (1988)
Ruelle, D.: Thermodynamic Formalism. (Encicl. Math. Appl., vol. 5) Reading, MA: Addison-Wesley 1978
Shub, M.: Global Stability of Dynamical Systems. Berlin Heidelberg New York: Springer 1987
Walters, P.: An Introduction to Ergodic theory. (Grad. Texts Math., vol. 79) Berlin Heidelberg New York: Springer 1982
Yomdim, Y.: Volume growth and entropy. Isr. J. Math.57, 285–300 (1987)
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Contreras, G. Regularity of topological and metric entropy of hyperbolic flows. Math Z 210, 97–111 (1992). https://doi.org/10.1007/BF02571785
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DOI: https://doi.org/10.1007/BF02571785