Random Systems with Complete Connections and the Gauss Problem for the Regular Continued Fractions

Published 21 Oct 2010 in math.NT | (1010.4469v1)

Abstract: This paper present the important role that random system with complete connections played in solving the Gauss problem associated to the regular continued fractions. Hence, using the ergodic behavior of homogeneous random system with complete connections, we will solve a Gauss - Kuzmin type theorem.

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