English

Stable intersection of middle-$\alpha$ Cantor sets

Dynamical Systems 2013-06-27 v2

Abstract

In the present paper, We introduce a pair of middle Cantor sets namely (Cα,Cβ)(C_\alpha, C_\beta) having stable intersection, while the product of their thickness is smaller than one. Furthermore, the arithmetic difference CαλCβC_\alpha- \lambda C_\beta contains at least one interval for each nonzero number λ\lambda.

Keywords

Cite

@article{arxiv.1306.5879,
  title  = {Stable intersection of middle-$\alpha$ Cantor sets},
  author = {M. Pourbarat},
  journal= {arXiv preprint arXiv:1306.5879},
  year   = {2013}
}
R2 v1 2026-06-22T00:39:49.680Z