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Minimal transformation groups with distal points
Author:
William A. Veech
Journal:
Bull. Amer. Math. Soc. 75 (1969), 481-486
MathSciNet review:
0259879
Full-text PDF
References |
Additional Information
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Auslander and Frank
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Robert
Ellis, A semigroup associated with a
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Robert
Ellis, The structure of group-like extensions
of minimal sets, Trans. Amer. Math. Soc. 134 (1968), 261–287.
MR
0238293 (38 #6569), http://dx.doi.org/10.1090/S0002-9947-1968-0238293-2
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H.
Furstenberg, The structure of distal flows, Amer. J. Math.
85 (1963), 477–515. MR 0157368
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Shizuo
Kakutani, Ergodic theory of shift transformations, Proc. Fifth
Berkeley Sympos. Math. Statist. and Probability (Berkeley, Calif.,
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(37 #2943)
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MR
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Harold
Marston Morse, Recurrent geodesics on a surface of
negative curvature, Trans. Amer. Math. Soc.
22 (1921), no. 1,
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1501161, http://dx.doi.org/10.1090/S0002-9947-1921-1501161-8
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W.
A. Veech, Almost automorphic functions on groups, Amer. J.
Math. 87 (1965), 719–751. MR 0187014
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William
A. Veech, Point-distal flows, Amer. J. Math.
92 (1970), 205–242. MR 0267560
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William
A. Veech, Strict ergodicity in zero dimensional
dynamical systems and the Kronecker-Weyl theorem
𝑚𝑜𝑑2, Trans. Amer.
Math. Soc. 140
(1969), 1–33. MR 0240056
(39 #1410), http://dx.doi.org/10.1090/S0002-9947-1969-0240056-X
- 1.
- J. Auslander and F. Hahn, Point-transitive flows, algebras of functions, and the Bebutov system, Fund. Math. 60 (1967), 117-137. MR 221489
- 2.
- R. Ellis, A semigroup associated with a transformation group, Trans. Amer. Math. Soc. 94 (1960), 272-281. MR 123636
- 3.
- R. Ellis, The structure of group-like extensions of minimal sets, Trans. Amer. Math. Soc., 134 (1968), 261-287. MR 238293
- 4.
- H. Furstenberg, The structure of distal flows, Amer. J. Math. 85 (1963), 477-515. MR 157368
- 5.
- S. Kakutani, "Ergodic theory of shift transformations" in Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability. Vol. II: Contributions to probability theory, part 2, Univ. of California Press, Berkeley, Calif., 1967, pp. 405-414. MR 227358
- 6.
- A. Knapp, Functions behaving like almost automorphic functions, Internat. Sympos. Topological Dynamics, Benjamin, New York, pp. 299-317. MR 238294
- 7.
- M. Morse, Recurrent geodesics on a surface of negative curvature, Trans. Amer. Math. Soc. 22 (1921), 84-100. MR 1501161
- 8.
- W. Veech, Almost automorphic functions on groups, Amer. J. Math. 87 (1965), 719-751. MR 187014
- 9.
- W. Veech, Point-distal flows(to appear). MR 267560
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- W. Veech, Strict ergodicity in zero dimensional dynamical systems and the Kronecker-Weyl theorem mod 2, Trans. Amer. Math. Soc. 140 (1969), 1-33. MR 240056
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1969-12209-3
PII:
S 0002-9904(1969)12209-3
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