Topological entropy of distal affine transformations on compact abelian groups

Nobuo AOKI

doi:10.2969/jmsj/02310011

Nobuo AOKI

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JOURNAL FREE ACCESS

1971 Volume 23 Issue 1 Pages 11-17

DOI https://doi.org/10.2969/jmsj/02310011

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Published: 1971 Received: November 20, 1969 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) R. L. Adler, A. G. Konheim and M. H. MacAndrew, Topological entropy, Trans. Amer. Math. Soc., 114 (1965), 309-319.
2) L. M. Abramov, Metric automorphisms with quasi-discrete spectrum, Amer. Math. Soc. Transl., 39 (1964), 37-56.
3) L. M. Abramov, On the entropy of flows, Amer. Math. Soc. Transl., 49 (1966), 167-170.
4) K. R. Berg, Entropy of torus automorphisms, Topological dynamics, An International Symposium, Benjamin, New York, (1968), 67-79.
5) P. Bilingsley, Ergodic theory and information, John Wiley and Sons, New York, 1965.
6) F. Hahn and W. Parry, Minimal dynamical systems with quasi-discrete spectrum, J. London Math. Soc., 40 (1965), 309-323.
7) A. H. Hoare and W. Parry, Affine transformations with quasi-discrete spectrum (II), J. London Math. Soc., 41 (1966), 529-530.
8) W. Parry, Zero entropy of distal and related transformations, Topological Dynamics, An International Symposium, Benjamin, New York, (1969), 383-389.
9) W. Parry, Entropy and generators in ergodic theory, Benjamin, New York, 1969.
10) L. Pontrjagin, Topological groups, Princeton Univ. Press, New Jersey, 1958.

Right : [1] R. L. Adler, A. G. Konheim and M. H. MacAndrew, Topological entropy, Trans. Amer. Math. Soc., 114 (1965), 309-319.
[2] L. M. Abramov, Metric automorphisms with quasi-discrete spectrum, Amer. Math. Soc. Transl., 39 (1964), 37-56.
[3] L. M. Abramov, On the entropy of flows, Amer. Math. Soc. Transl., 49 (1966), 167-170.
[4] K. R. Berg, Entropy of torus automorphisms, Topological dynamics, An International Symposium, Benjamin, New York, (1968), 67-79.
[5] P. Bilingsley, Ergodic theory and information, John Wiley and Sons, New York, 1965.
[6] F. Hahn and W. Parry, Minimal dynamical systems with quasi-discrete spectrum, J. London Math. Soc., 40 (1965), 309-323.
[7] A. H. Hoare and W. Parry, Affine transformations with quasi-discrete spectrum (II), J. London Math. Soc., 41 (1966), 529-530.
[8] W. Parry, Zero entropy of distal and related transformations, Topological Dynamics, An International Symposium, Benjamin, New York, (1969), 383-389.
[9] W. Parry, Entropy and generators in ergodic theory, Benjamin, New York, 1969.
[10] L. Pontrjagin, Topological groups, Princeton Univ. Press, New Jersey, 1958.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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