<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

“Mircea cel Batran” Naval Academy, 1 Fulgerului, 900218, Constanta,

“Ovidius” University of Constanta, Faculty of Mathematics and Informatics, 124 Mamaia Blvd., 900527 Constanta,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On the metrical theory of a non-regular continued fraction expansion"}

We introduced a new continued fraction expansions in our previous paper. For these expansions, we show the Brodén-Borel-Lévy type formula. Furthermore, we...

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

Publié en ligne: 22 avr. 2017

Pages: 147 - 160

Reçu: 01 oct. 2013

Accepté: 01 déc. 2013

DOI: https://doi.org/10.1515/auom-2015-0032

Mots clés
continued fractions, incomplete quotients, invariant measure

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Publié en ligne: 22 avr. 2017

Pages: 147 - 160

Reçu: 01 oct. 2013

Accepté: 01 déc. 2013

DOI: https://doi.org/10.1515/auom-2015-0032

Mots cléscontinued fractions, incomplete quotients, invariant measure

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
continued fractions, incomplete quotients, invariant measure