ARITHMETIC PRODUCT OF SELF-SIMILAR SETS WITH TWO BRANCHES-Reference-Cited by-同舟云学术

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ARITHMETIC PRODUCT OF SELF-SIMILAR SETS WITH TWO BRANCHES

Published:2021-03 Issue:02 Volume:29 Page:2150039
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

WANG QIN¹,ZHANG KAI²^ORCID

Affiliation:

1. College of Big Data and Software Engineering, Zhejiang Wanli University, Ningbo 315101, P. R. China

2. Junior College, Zhejiang Wanli University, Ningbo 315101, P. R. China

Abstract

For self-similar set [Formula: see text] [Formula: see text] we study the arithmetic product of [Formula: see text] and obtain that when [Formula: see text] then [Formula: see text] To deal with the arithmetic product of self-similar sets with different ratios, we introduce a technique named comparable rectangle.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21500390

Reference13 articles.

1. Cantor Set Arithmetic

2. Resonance between Cantor sets

3. Local entropy averages and projections of fractal measures

4. Products of two Cantor sets

5. Hausdorff dimension of the arithmetic sum of self-similar sets

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