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

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

2010-10-21

arxiv.org/abs/1010.4469v1

Constanta Maritime University Annals, Year X, 2009, Vol.12, pp.405-412

Mathematics

Number Theory

7 pages

Scientific paper

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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