Keywords
- Open Cover
- Topological Entropy
- Topological Pressure
- Unique Equilibrium State
- Finite Open Cover
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References
R.L. Adler, A.G. Konheim and M.H. McAndrew, Topological entropy, Trans. A.M.S. 114 (1965), 309–319.
P. Billingsley, Ergodic Theory and Information, Wiley (1965).
R. Bowen, Entropy-expansive maps, Trans. A.M.S. 164 (1972), 323–332.
-, Topological entropy for noncompact sets, Trans. A.M.S. 184 (1973), 125–136.
-, Some systems with unique equilibrium states, Math. Systems Theory, 8(1974), no. 3, 193–202.
E.I. Dinaburg, On the relations among various entropy characteristics of dynamical systems, Math USSR Izvestia 5 (1971), 337–378.
E. Franco-Sanchez, Flows with unique equilibrium states, Amer. J. Math.
T. Goodman, Relating topological entropy and measure entropy, Bull. London Math. Soc. 3 (1971), 176–180.
-, Maximal measures for expansive homeomorphisms, J. London Math. Soc. (2) 5 (1972), 439–444.
L.W. Goodwyn, Topological entropy bounds measure-theoretic entropy, Proc. A.M.S. 23 (1969), 679–688.
B.M. Gurevic, Topological entropy of denumerable Markov chains, Soviet Math. Dokl. 10 (1969), 914–915.
A. Manning, Topological entropy and the first homology group. Proc. 1974 Warwick Symposium on Dynamical Systems, Springer-Verlag.
M. Misiurewicz, Diffeomorphism without any measure with maximal entropy, Bull. Acad. Pol. Sci. 21(1973), 903–910.
W. Parry, Intrinsic Markov chains, Trans. A.M.S. 112 (1964), 55–66.
D. Ruelle, Statistical mechanics on a compact set with 2v action satisfying expansiveness and specification, Trans. A.M.S. 185(1973), 237–251.
P. Walters, A variational principle for the pressure of continuous transformations, Amer. J. Math.
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Bowen, R. (1975). General thermodynamic formalism. In: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. Lecture Notes in Mathematics, vol 470. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081282
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DOI: https://doi.org/10.1007/BFb0081282
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