Achievement sets on the plane -- perturbations of geometric and multigeometric series

DOI10.1016/J.CHAOS.2015.05.001zbMath1353.40004OpenAlexW371389008MaRDI QIDQ502016

Artur Bartoszewicz, Szymon Głąb

Publication date: 11 January 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.05.001

zbMATH Keywords

absolutely convergent seriesHausdorff dimensioniterated function systemachievement setachievement set in Banach spacemultigeometric sequence

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fractals (28A80) Multiple sequences and series (40B05)

Related Items (5)

Achievement sets of conditionally convergent series ⋮ Achievement sets and sum ranges with ideal supports ⋮ Levy-Steinitz theorem and achievement sets of conditionally convergent series on the real plane ⋮ On the center of distances ⋮ On the structure of arithmetic sums of Cantor sets associated with series

Cites Work

• Topological and measure properties of some self-similar sets
• Multigeometric sequences and cantorvals
• Cantorvals and Subsum Sets of Null Sequences
• Achievement Sets of Sequences
• On the range of purely atomic probability measures
• Fractal series
• Dimension Functions for Fractal Sets Associated to Series
• On a paper of Guthrie and Nymann on subsums of infinite series
• On the topological structure of the arithmetic sum of two Cantor sets
• Algebraic and topological properties of some sets in l₁
• The topological structure of the set of subsums of an infinite series
• Unnamed Item
• Unnamed Item

This page was built for publication: Achievement sets on the plane -- perturbations of geometric and multigeometric series