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Un théorème ergodique pour les espaces L1

✍ Scribed by François Aribaud

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
780 KB
Volume
5
Category
Article
ISSN
0022-1236

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For any irrational x # [0, 1] we denote by p n (x)Âq n (x), n=1, 2, ... the sequence of its continued fraction convergents and define % n (x) :=q n |q n x&p n |. Also let T: [0, 1] Ä [0, 1] be defined by T(0)=0 and T(x)=1Âx&[1Âx] if x{0. For some random variables X 1 , X 2 , ..., which are connected