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Topological dynamics and ergodic theory

Published online by Cambridge University Press:  19 September 2008

Robert Ellis
Robert Ellis
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, USA
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Abstract

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It is shown that when viewed properly some concepts in topological dynamics and ergodic theory are not merely analogous but equivalent. Also the Mackey-Halmos-von Neumann theorem on ergodic processes with discrete spectrum is generalized and an account of the Mackey-Zimmer theory of minimal cocycles is given in a more general setting.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 1 , March 1987 , pp. 25 - 47
Copyright
Copyright © Cambridge University Press 1987

References

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