On the metrical theory of a non-regular continued fraction expansion

Lascu, Dan; Cîrlig, George

doi:10.1515/auom-2015-0032

Abstract

We introduced a new continued fraction expansions in our previous paper. For these expansions, we show the Brodén-Borel-Lévy type formula. Furthermore, we compute the transition probability function from this and the symbolic dynamical system of the natural number with the unilateral shift.

References

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On the metrical theory of a non-regular continued fraction expansion

Abstract

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