abstract

• We provide new similarities between regular continued fractions and Lüroth series in terms of topological dynamics and Hausdorff dimension. In particular, we establish a complete analogue for the Lüroth transformation of results by W. Liu, B. Li [18] and W. Liu, S. Wang [19] on the distal, asymptotic and Li-Yorke pairs for the Gauss map. © 2022 Elsevier Inc.

publication date

• 2022-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT: 740785; Universidad Nacional Autónoma de México, UNAM; Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México, DGAPA, UNAM: 110221  Grant

published in

• Journal of Mathematical Analysis and Applications  Journal

keywords

• Chaotic properties; Continued fractions; Hausdorff dimension; Lüroth expansion

Digital Object Identifier (DOI)

• 10.1016/j.jmaa.2022.126324

PubMed ID

start page

end page

volume

• 514

issue

• 2