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Some Ergodic Theorems for Piecewise Monotonic Transformations

✍ Scribed by Jiu Ding


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
140 KB
Volume
202
Category
Article
ISSN
0022-247X

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✦ Synopsis


a piecewise monotonic transformation satisfying some Ž

. n y1 j conditions. We show that time averages 1rn Ý f ( S converge strongly in js 0 p Ž . p Ž . L 0, 1 and pointwisely almost everywhere for any f g L 0, 1 , where 1 F p -ϱ.