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INVARIANT-MEASURES FOR CERTAIN EXPANSIVE Z(2)-ACTIONS
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UNSPECIFIED (1995) INVARIANT-MEASURES FOR CERTAIN EXPANSIVE Z(2)-ACTIONS. ISRAEL JOURNAL OF MATHEMATICS, 90 (1-3). pp. 295-300. ISSN 0021-2172.
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Abstract
Let p > 1 be prime, and let Y subset of X = (Z/pZ)(Z2) be an infinite, closed, shift-invariant subgroup with the following properties: the restriction to Y of the shift-action a of Z(2) on X is mixing with respect to the Haar measure lambda y of Y, and every closed, shift-invariant subgroup Z subset of or equal to Y is finite. We prove that every sufficiently mixing, non-atomic, shift-invariant probability measure mu on Y is equal to lambda y.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | ISRAEL JOURNAL OF MATHEMATICS | ||||
Publisher: | MAGNES PRESS | ||||
ISSN: | 0021-2172 | ||||
Official Date: | 1995 | ||||
Dates: |
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Volume: | 90 | ||||
Number: | 1-3 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 295-300 | ||||
Publication Status: | Published |
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