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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 17-20, Pages 1067-1076
doi:10.1155/S0161171204304308

A Gauss-Kuzmin-Lévy theorem for a certain continued fraction

Hei-Chi Chan

Mathematical Sciences Program, University of Illinois, Springfield 62794-9243, IL, USA

Abstract

We consider an interval map which is a generalization of the well-known Gauss transformation. In particular, we prove a result concerning the asymptotic behavior of the distribution functions of this map.