Dimension of the intersection of certain Cantor sets in the plane
In this paper we consider a retained digits Cantor set \(T\) based on digit expansions with Gaussian integer base. Let \(F\) be the set all \(x\) such that the intersection of \(T\) with its translate by \(x\) is non-empty and let \(F_{\beta}\) be the subset of \(F\) consisting of all \(x\) such tha...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2021-03-01
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Series: | Opuscula Mathematica |
Subjects: | |
Online Access: | https://www.opuscula.agh.edu.pl/vol41/2/art/opuscula_math_4111.pdf |