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References
L. Auslander, L. W. Green andF. J. Hahn,Flows on Homogeneous Spaces, Annals of Math. Studies, No. 53, Princeton, 1963.
F. J. Hahn, On affine transformations of compact abelian groups,Amer. J. Math. 85 (1963), 428–446.
F. J. Hahn andW. Parry, Some characteristic properties of dynamical systems with quasi-discrete spectrum,Math. Systems Theory 2 (1968), 179–190.
A. H. M. Hoare andW. Parry, Semi-groups of affine transformations,Quart. J. Math. Oxford 17 (1966), 106–111.
A. H. M. Hoare andW. Parry, Affine transformations with quasi-discrete spectrum, I,J. London Math. Soc. 41 (1966), 88–96.
A. H. M. Hoare andW. Parry, Affine transformations with quasi-discrete spectrum, II,J. London Math. Soc. 41 (1966), 529–530.
D. Newton, Coalsecence and spectrum of automorphisms of a Lebesgue space, to appear.
W. Parry, Ergodic properties of affine transformations and flows of nilmanifolds,Amer. J. Math. 91 (1969), 757–771.
W. Parry, Metric classification of ergodic nilflows and unipotent affines, to appear.
W. Parry andP. Walters, Minimal skew-product homeomorphisms and coalescence,Compositio Math. 22 (1970), 283–288.
P. Walters, Topological conjugacy of affine transformations of tori,Trans. Amer. Math. Soc. 131 (1968), 40–50.
P. Walters, Topological conjugacy of affine transformations of compact abelian groups.Trans. Amer. Math. Soc. 140 (1969), 95–107).
P. Walters, Conjugacy properties of affine transformations of nilmanifolds,Math. Systems Theory 4 (1970), 327–333.
P. Walters, Coalescence properties of affine transformations, Proceedings of the Symposium on Topological Dynamics and Ergodic Theory, University of Kentucky, 1971.
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Walters, P. Affine transformations and coalescence. Math. Systems Theory 8, 33–44 (1974). https://doi.org/10.1007/BF01761705
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DOI: https://doi.org/10.1007/BF01761705