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On Superrecurrence

Published online by Cambridge University Press:  20 November 2018

Karma Dajani
Karma Dajani*
Affiliation:
George Washington University, Department of Mathematics, Washington D.C. 20052, USA
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Abstract

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Let T be a non-singular, conservative, ergodic automorphism of a Lebesgue space. We study a kind of weighted cocycles called H-cocycles. We introduce the notions of H-superrecurrence and H-supertransience. We use skew products to give necessary and sufficient conditions for H-superrecurrence.

Keywords

28D9947A3560J1534C35.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 1 , 01 March 1991 , pp. 48 - 57
Copyright
Copyright © Canadian Mathematical Society 1991

References

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