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Ergodic transformations induce mixing transformations

โœ Scribed by N.A Friedman; D.S Ornstein

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
772 KB
Volume
10
Category
Article
ISSN
0001-8708

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a piecewise monotonic transformation satisfying some ลฝ . n y1 j conditions. We show that time averages 1rn ร f ( S converge strongly in js 0 p ลฝ . p ลฝ . L 0, 1 and pointwisely almost everywhere for any f g L 0, 1 , where 1 F p -ฯฑ.