A short proof of the variational principle for a + N action on a compact space
International conference on dynamical systems in mathematical physics, Astérisque no. 40  (1976), p. 147-157
@incollection{AST_1976__40__147_0,
     author = {Misiurewicz, Michal},
     title = {A short proof of the variational principle for a $\mathbb{Z}\_{+}^N$  action on a compact space},
     booktitle = {International conference on dynamical systems in mathematical physics},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {40},
     year = {1976},
     pages = {147-157},
     zbl = {0368.54013},
     mrnumber = {444904},
     language = {en},
     url = {http://www.numdam.org/item/AST_1976__40__147_0}
}
Misiurewicz, Michal. A short proof of the variational principle for a $\mathbb{Z}_{+}^N$  action on a compact space, in International conference on dynamical systems in mathematical physics, Astérisque, no. 40 (1976), pp. 147-157. http://www.numdam.org/item/AST_1976__40__147_0/

[1] N. Bourbaki, Éléments de Mathématique, Livre VI (Intégration) Chap. IV - Hermann & Cie, Paris, 1952.

[2] J. P. Conze, Entropie d'un groupe abélien de transformations, Z. Wahrscheinlichkeitstheorie verw. Geb., 25 (1973), 11-30. | Article | MR 335754 | Zbl 0261.28015

[3] M. Denker, Remarques sur la pression pour les transformations continues, C.R. Acad. Sci. Paris, 279 (1974), 967-970. | MR 377014 | Zbl 0291.28016

[4] M. Denker, Measures with maximal entropy, preprint | Article | MR 492178 | Zbl 0337.54026

[5] E. I. Dinaburg, СьЯЗь мeждy pазΛи4ными Знгропийнымии xAрактеристикaмu Aинами4еских систем-изь A. H. CCCP, 35 (1971), 324-366.

[6] S. A. Elsanousi, A variational principle for the pressure of a continuous 2 -action on a compact metric space, preprint. | MR 437716 | Zbl 0388.28021

[7] T. N. T. Goodman, Relating topological entropy and measure entropy, Bull. Lond. Math. Soc., 3 (1971), 176-180. | Article | MR 289746 | Zbl 0219.54037

[8] L. W. Goodwyn, Topological entropy bounds measure-theoretic entropy, Proc. Amer. Math. Soc., 23 (1969), 679-688. | Article | MR 247030 | Zbl 0186.09804

[9] J. L. Kelley, General Topology, Van Nostrand, Princeton, 1955. | MR 70144 | Zbl 0066.16604

[10] M. Misiurewicz, Topological conditional entropy, Studia Math., 55 (1976), 175-200. | Article | MR 415587 | Zbl 0355.54035

[11] V. A. Rohlin, Λекции пo Энгропийной гeopни npeo6pa3ьaний с иньариангной мepoй - YMH, 22 (1967), 3-56.

V. A. Rohlin, (Lectures on the entropy theory of measure preserving transformations, Russian Math. Surv. 22, (1967), 1-52) | Article | Zbl 0174.45501

[12] D. Ruelle, Statistical mechanics on a compact set with ν action satisfying expansiveness and specification, Trans. Amer. Math. Soc., 185 (1973), 237-252. | Article | MR 417391 | Zbl 0278.28012

[13] P. Walters, A variational principle for the pressure of continuous transformations, preprint. | Article | MR 390180 | Zbl 0318.28007