Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients

Yusuf Hartono; Cor Kraaikamp; Fritz Schweiger

Journal de théorie des nombres de Bordeaux (2002)

  • Volume: 14, Issue: 2, page 497-516
  • ISSN: 1246-7405

Abstract

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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.

How to cite

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Hartono, Yusuf, Kraaikamp, Cor, and Schweiger, Fritz. "Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients." Journal de théorie des nombres de Bordeaux 14.2 (2002): 497-516. <http://eudml.org/doc/248913>.

@article{Hartono2002,
abstract = {In this paper the Engel continued fraction (ECF) expansion of any $x \in (0,1)$ 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.},
author = {Hartono, Yusuf, Kraaikamp, Cor, Schweiger, Fritz},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {continued fractions; Engel continued fraction expansion},
language = {eng},
number = {2},
pages = {497-516},
publisher = {Université Bordeaux I},
title = {Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients},
url = {http://eudml.org/doc/248913},
volume = {14},
year = {2002},
}

TY - JOUR
AU - Hartono, Yusuf
AU - Kraaikamp, Cor
AU - Schweiger, Fritz
TI - Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients
JO - Journal de théorie des nombres de Bordeaux
PY - 2002
PB - Université Bordeaux I
VL - 14
IS - 2
SP - 497
EP - 516
AB - In this paper the Engel continued fraction (ECF) expansion of any $x \in (0,1)$ 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.
LA - eng
KW - continued fractions; Engel continued fraction expansion
UR - http://eudml.org/doc/248913
ER -

References

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