Geodesic
Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients
Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 2, pp. 497-516

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In this paper the Engel continued fraction (ECF) expansion of any x∈(0,1) is introduced. Basic and ergodic properties of this expansion are studied. Also the relation between the ECF and F. Ryde’s monotonen, nicht-abnehmenden Kettenbruch (MNK) is studied.

On introduit la notion de développement en fractions continues de Engel. Nous étudions notamment les propriétés ergodiques de ce développement et le lien avec celui introduit par F. Ryde monotonen, nicht-abnehmenden Kettenbruch.

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     author = {Hartono, Yusuf and Kraaikamp, Cor and Schweiger, Fritz},
     title = {Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {497--516},
     publisher = {Universit\'e Bordeaux I},
     volume = {14},
     number = {2},
     year = {2002},
     mrnumber = {2040690},
     zbl = {1067.11042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JTNB_2002__14_2_497_0/}
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Hartono, Yusuf; Kraaikamp, Cor; Schweiger, Fritz. Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients. Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 2, pp. 497-516. http://geodesic.mathdoc.fr/item/JTNB_2002__14_2_497_0/