Renewal-type limit theorem for the Gauss map and continued fractions
نویسندگان
چکیده
منابع مشابه
Renewal-type Limit Theorem for Continued Fractions with Even Partial Quotients
We prove the existence of the limiting distribution for the sequence of denominators generated by continued fraction expansions with even partial quotients, which were introduced by F. Schweiger [14] [15] and studied also by C. Kraaikamp and A. Lopes [10]. Our main result is proven following the strategy used by Ya. Sinai and C. Ulcigrai [18] in their proof of a similar renewal-type theorem for...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2008
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385707000466