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Stability of the weak Pinsker property for flows

Published online by Cambridge University Press:  19 September 2008

Adam Fieldsteel
Adam Fieldsteel
Affiliation:
Department of Mathematics, Wesleyan University, Middletown, CT 06457, USA
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Abstract

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An ergodic flow is said to have the weak Pinsker property if it admits a decreasing sequence of factors whose entropies tend to zero and each of which has a Bernoulli complement. We show that this property is preserved under taking factors and d-limits. In addition, we show that a flow has the weak Pinsker property whenever one ergodic transformation in the flow has this property.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 4 , Issue 3 , September 1984 , pp. 381 - 390
Copyright
Copyright © Cambridge University Press 1984

References

REFERENCES

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