Sign in
Back
Beta-continued fractions over Laurent series
Journal article   Open access  Peer reviewed

Beta-continued fractions over Laurent series

Manel Jellali, Mohamed Mkaouar, Klaus Scheicher and Jorg M. Thuswaldner
Publicationes mathematicae (Debrecen), Vol.77(3-4), pp.443-463
01/10/2010
DOI: https://doi.org/10.5486/PMD.2010.4694

Abstract

Mathematics Physical Sciences Science & Technology
The present paper is devoted to a new notion of continued fractions in the field of Laurent series over a finite field The definition of this kind of continued fraction algorithm is based on a general notion of number systems. We will prove some ergodic properties and compute the Hausdorff dimensions of bounded type continued fraction sets.
url
https://doi.org/10.5486/PMD.2010.4694View
Published (Version of record) Open

Metrics

1 Record Views

Details