Author

M. Pourbarat

Dept. of Math, Shahid Beheshti University, Tehran, Iran

Published papers: 2
Citations: 2
Views: 17
Downloads: 9

Publications

2 papers

Open Access Original Articles·pp. 107–114·Vol. 10, Issue 2Nov 2012

Arithmetic Difference of Middle Cantor Sets: Self-Similarity and Measure

M. Pourbarat

Published Online: 01 Nov 2012DOI: 10.1080/1726037X.2012.10698612

In this paper: Let C be the space of all middle Cantor sets, it is shown that for a dense subset L of C × C × ℝ, set Cα − λCβ forms a uniformly contracting self-similar set when (Cα, Cβ, λ) ∈ L. By selecting an appr...

Abstract References Full Text PDF (196 KB)Views: 6Downloads: 6Citations: 0

Open Access Original Articles·pp. 139–146·Vol. 4, Issue 2Nov 2006

On the Arithmetic Difference of Affine Cantor Sets

B. Honary, M. Pourbarat, M.R. Velayati

Published Online: 01 Nov 2006DOI: 10.1080/1726037X.2006.10698511

In this paper: In this paper we construct a recurrent compact set for the relative configurations set of special affine Cantor sets. This will produce a class of examples of Cantor sets such that their arithmetic di...

Abstract References Full Text PDF (183 KB)Views: 11Downloads: 3Citations: 2