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BETA-CONTINUED FRACTIONS OVER LAURENT SERIES

By M. Jellali, M. Mkaouar, K. Scheicher and J. M. Thuswaldner

Abstract

Abstract. 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. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.2353
Provided by: CiteSeerX
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