Sumsets and fixed points of substitutions

Author:

Dekking F.

Abstract

In this paper we introduce a technique to determine the sumset A + A A+A , where A A is the indicator function of the 0’s occurring in a fixed point x x of a substitution on the alphabet { 0 , 1 } \{0,1\} .

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics,Analysis,Algebra and Number Theory

Reference9 articles.

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3. The algebraic difference of two random Cantor sets: the Larsson family;Dekking, Michel;Ann. Probab.,2011

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5. Sumsets associated with Wythoff sequences and Fibonacci numbers;Kawsumarng, Sutasinee;Period. Math. Hungar.,2021

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