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...

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Bibliographic Details
Main Authors: Steen Pedersen, Vincent T. Shaw
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2021-03-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol41/2/art/opuscula_math_4111.pdf