Theory of \((a,b)\)-continued fraction transformations and applications
type: Item
instance of: scholarly article
title: Theory of \((a,b)\)-continued fraction transformations and applications
zbMATH Open document ID: 1193.37040
author: Svetlana Katok
author: Ilie Ugarcovici
published in: Electronic Research Announcements in Mathematical Sciences
publication date: 2010-05-10T00:00:00Z
review text: A two-parameter family of one-dimensional maps and the related \( (a,b) \)-continued fractions are studied. The main result concerns the natural extention map of \( f_{a,b} \). The authors prove the existence of global attractor consisting of two connected components each having finite rectangular structure. The applications to coding geodesis and the computation of invariant measures associated with the proposed transformations are presented.
reviewed by: Angela Slavova
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 37B40
Mathematics Subject Classification ID: 11A55
Mathematics Subject Classification ID: 20H05
zbMATH DE Number: 5705995
zbMATH Keywords: continued fractions
zbMATH Keywords: attractors
zbMATH Keywords: modular surface
zbMATH Keywords: invariant measure
MaRDI profile type: Publication
OpenAlex ID: W2101875768
DOI: 10.3934/ERA.2010.17.20
description: scientific article; zbMATH DE number 5705995