Assouad dimensions and spectra of Moran cut-out sets. (February 2019)

• Record Type: Journal Article
• Authors: Chen, Haipeng
• Is Part Of: Chaos, solitons and fractals. Volume 119(2019)
• Page Start: 310
• Page End: 317
• Publication Date: 2019-02
• Subjects: Assouad dimensions -- Assouad spectra -- Moran cut-out sets; 28A80; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2019.01.009
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: Given a suitable gap sequence and some assumptions, we discuss the Assouad dimensions and spectra of Moran cut-out sets by the equivalent but more accessible definitions of Assouad dimensions and spectra. As an application, we discuss the Assouad dimensions and spectra between Moran cut-out sets and Moran sets.