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

Published 13 Oct 2015 in math.NT | (1510.03606v1)

Abstract: We consider a family ${T_N:N \geq 1 }$ 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.

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Dan Lascu

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