From greedy to lazy expansions and their driving dynamics
type: Item
instance of: scholarly article
title: From greedy to lazy expansions and their driving dynamics
zbMATH Open document ID: 1030.11035
DOI: 10.1016/S0723-0869(02)80010-X
author: K. Dajani
author: Cor Kraaikamp
published in: Expositiones Mathematicae
publication date: 2003-03-20T00:00:00Z
review text: There are many ways to develop a real number in \([0,1)\) using a non-integer base \(\beta>1\). Here it is shown that the `greedy' and `lazy' expansions are isomorphic in the sense of ergodic theory. In addition, a family of expansions that interpolate between the two expansions is found, and it is shown that these expansions are determined by maps of the form \(x\mapsto\beta x+\alpha\) mod \(1\).
reviewed by: Thomas B. Ward
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 37A45
zbMATH DE Number: 1870158
zbMATH Keywords: greedy expansions
zbMATH Keywords: dynamical systems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1870158