On some fractal sets only containing irrationals

Autor:	Jiang, Kan
Rok vydání:	2021
Předmět:	Mathematics - Number Theory Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	In this paper, we prove that many fractal sets generated by the associated dynamical systems only contain irrationals. As an application, we explicitly construct some overlapping self-similar sets which only consist of irrationals.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.12914 Zobrazit plný text záznamu View this record from Arxiv