Achievement sets on the plane—Perturbations of geometric and multigeometric series

Artur Bartoszewicz and Szymon Gła̧b

Chaos, Solitons & Fractals, 2015, vol. 77, issue C, 84-93

Abstract: By A(xn)={∑n=1∞ɛnxn:ɛn=0,1} we denote the achievement set of the absolutely convergent series ∑n=1∞xn. We study the relation between the achievement set of the series on the plane and the achievement sets of its projection into two coordinates. We mainly focus on the series ∑n=1∞(xn,yn) where (xn) is a geometric series and yn = xσ(n) for some permutation σ ∈ S∞.

Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077915001307
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:77:y:2015:i:c:p:84-93

DOI: 10.1016/j.chaos.2015.05.001

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().