Non-uniform expansions of real numbers
J\"org Neunh\"auserer

TL;DR
This paper explores non-uniform expansions of real numbers using two non-integer bases, providing new insights into their properties and behaviors.
Contribution
It introduces the concept of non-uniform expansions with two bases and analyzes their mathematical properties.
Findings
Characterization of non-uniform expansions
Conditions for unique representations
Behavior differences from uniform expansions
Abstract
We introduce and study non-uniform expansions of real numbers, given by two non-integer bases.
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