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ERGODIC PROPERTIES OF A ONE-PARAMETER FAMILY OF SKEW-PRODUCTS
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UNSPECIFIED (1995) ERGODIC PROPERTIES OF A ONE-PARAMETER FAMILY OF SKEW-PRODUCTS. NONLINEARITY, 8 (5). pp. 821-825. ISSN 0951-7715.
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Abstract
Following a recent paper of Siboni's we study a one-parameter family of skew-products of the torus and prove that for irrational values of the parameter each one is an exact endomorphism and for characters we have exponential decay of correlations. We pose the problem of measure-theoretic classification. When Lebesgue measure is altered to other Bernoulli measures the problem is solved and isomorphisms are specified. Uncountably many are non-isomorphic; in fact +/-epsilon (epsilon the parameter) is a complete invariant.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | NONLINEARITY | ||||
Publisher: | IOP PUBLISHING LTD | ||||
ISSN: | 0951-7715 | ||||
Official Date: | September 1995 | ||||
Dates: |
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Volume: | 8 | ||||
Number: | 5 | ||||
Number of Pages: | 5 | ||||
Page Range: | pp. 821-825 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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