Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Let K ⊆ ℝ be the unique attractor of an iterated function system. We consider the case where K is an interval and study those elements of K with a unique coding. We prove under mild conditions that the set of points with a unique coding can be identified with a subshift of finite type. As a consequence, we can show that the set of points with a unique coding is a graph-directed self-similar set in the sense of Mauldin and Williams (1988). The theory of Mauldin and Williams then provides a method by which we can explicitly calculate the Hausdorff dimension of this set. Our algorithm can be applied generically, and our result generalises the work of Daróczy, Kátai, Kallós, Komornik and de Vries.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
265-282
Opis fizyczny
Daty
wydano
2015
Twórcy
autor
- School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK
autor
- Department of Mathematics, Utrecht University, Budapestlaan 6, 3508TA Utrecht, The Netherlands
autor
- Department of Mathematics, Utrecht University, Budapestlaan 6, 3508TA Utrecht, The Netherlands
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-fm228-3-4