On Topological Entropy of Semigroups of Commuting Transformations
Publications des séminaires de mathématiques et informatique de Rennes, International Conference on Dynamical Systems in Mathematical Physics, no. S4 (1975), article no. 4, 46 p.
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     author = {Eberlein, Ernst},
     title = {On {Topological} {Entropy} of {Semigroups} of {Commuting} {Transformations}},
     journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes},
     eid = {4},
     pages = {1--46},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {S4},
     year = {1975},
     language = {en},
     url = {http://archive.numdam.org/item/PSMIR_1975___S4_A4_0/}
}
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Eberlein, Ernst. On Topological Entropy of Semigroups of Commuting Transformations. Publications des séminaires de mathématiques et informatique de Rennes, International Conference on Dynamical Systems in Mathematical Physics, no. S4 (1975), article  no. 4, 46 p. http://archive.numdam.org/item/PSMIR_1975___S4_A4_0/

[1] Adler R.L. , Konheim A.G., Mc.Andrew M.H. : Topological entropy. Trans. AMS 114 (1965) 309-319 | MR | Zbl

[2] Bowen R. : Topological entropy and Axiom A. Proc. Symp. Pure Math. Vol. 14 (1970)23-41 | MR | Zbl

[3] Bowen R. : Entropy for group endomorphisms and homogeneous spaces. Trans. AMS 153 (1971) 401-414 | MR | Zbl

[4] Bowen R. : Entropy-expansive maps. Trans. AMS 164 (1972) 323-331 | MR | Zbl

[5] Conze J.P. : Entropie d'un groupe abelien de transformations. Z. Wahrscheinlichkeitstheorie verw. Geb. 25 (1972) 11-30 | MR | Zbl

[6] Denker M., Eberlein E. : Ergodic flows are strictly ergodic. Advances in Mathematics 13 (1974) 437-473 | MR | Zbl

[7] Eberlein E. : Einbettung von Strömungen in Funktionenräume durch Erzeuger vom endlichen Typ. Z. Wahrscheinlichkeitstheorie verw. Geb. 27 (1973) 277-291 | MR | Zbl

[8] Föllmer H. : On entropy and information gain in random fields. Z. Wahrscheinlichkeitstheorie verw. Geb. 26 (1973) 207-217 | MR | Zbl

[9] Goodwyn L.W. : The product theorem for topological entropy. Trans. AMS 158 (1971) 445-452 | MR | Zbl

[10] Goodwyn L.W. : Topological entropy bounds measure-theoretic entropy. Proc. AMS 23 (1969) 679-688 | MR | Zbl

[11] Goodwyn L.W. : Comparing topological entropy with measuretheoretic entropy. American Journal of Math. 54 (1972) 366-388 | MR | Zbl

[12] Jacobs K. : Lipschitz functions and the prevalence of strict ergodicity for continuous-time flows. Lecture Notes in Mathematics 160. Springer-Verlag 87-124 | MR | Zbl

[13] Katznelson Y., Weiss B. : Commuting measure-preserving transformations. Israel J . Math. 12 (1972) 161-173 | MR | Zbl

[14] Keynes H., Robertson J. : Generators for topological entropy and expansiveness, Math. Syst. Theory 3 (1969) 51-59 | MR | Zbl

[15] Kolmogorov A.N., Tikhomirov V.M. : ε-entropy and ε-capacity of sets in funtional spaces. AMS Translations 17 (1961) 277-364 | MR | Zbl

[16] Krengel U. : K-flows are forward deterministic, backward completely non-deterministic stationary point processes. J. Math. Anal. Appl. 35 (1971) 611-620 | MR | Zbl

[17] Lind D.A. : Locally compact measure preserving flows. Advances in Mathematics 15 (1975) 175-193 | MR | Zbl

[18] Pickel. B.S., Stepin A. M. : On the entropy equidistribution property of commutative groups of metric automorphisms. Soviet. Math. Dokl. 12 (1971) 938-942 | Zbl

[19] Rokhlin V.A. : Lectures on the entropy theory of measurepreserving transformations. Russ. Math. Surveys 22 (1967) No. 5 1-52 | Zbl

[20] Thouvenot J.P. : Convergence en moyenne de l’information pour l’action de Z 2 . Z. Wahrscheinlichkeitstheorie verw. Geb. 24 (1972) 135-137 | MR | Zbl

[21] Elsanousi S.A. : A variational principle for the pressure of a continuous Z 2 -action on a compact metric space. (to appear) | Zbl

[22] Goodman T.N.T. : Topological sequence entropy. Proc London Math Soc. (3) 29 (1974) 331-350 | MR | Zbl

[23] Kushnirenko A.G. : On metric invariants of entropy type. Russ. Math. Surveys 22 (1967) No. 5 53-61 | MR | Zbl

[24] Misiurewicz M. : A N short proof of the variational principle for a Z + N -action on a compact space. (these Proceedings) | MR | Zbl

[25] Newton D. : On sequence entropy I/II. Math. Systems Theory 4 (1970) 119-128 | MR | Zbl

[26] Newton D., Krug E. : On sequence entropy of automorphisms of a Lebesgue space. Z. Wahrscheinlichkeitstheorie verw. Geb. 24 (1972) 211-214 | MR | Zbl

[27] Ruelle D. : Statistical mechanics on a compact set with Z ν -action satisfying expansiveness and specification. Trans. AMS 185 (1973) 237-251 | MR | Zbl

[28] Walters P. : A variational principle for the pressure of continuous transformations. (to appear) | MR | Zbl