Dependence with complete connections and the Gauss-Kuzmin theorem for N-continued fractions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:444

Article

Lascu, Dan¹ 

[1] Mirceacal Batran Naval Acad, 1 Fulgerului, Constanta 900218, Romania

关键词: Continued fractions;    Invariant measure;    Random system with complete;    connections;   

DOI  :  10.1016/j.jmaa.2016.06.046

来源: Elsevier

【 摘 要 】

We consider a family {T-N : N >= 1} of interval maps as generalizations of the Gauss transformation. For the continued fraction expansion arising from T-N, we solve its Gauss-Kuzmin-type problem by applying the theory of random systems with complete connections by Iosifescu. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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