Greedy and quasi-greedy expansions in non-integer bases
Claudio Baiocchi, Vilmos Komornik
TL;DR
This paper generalizes key theorems related to greedy and quasi-greedy expansions in non-integer bases, expanding the theoretical understanding of these representations.
Contribution
It introduces new characterizations of greedy and quasi-greedy expansions in non-integer bases, extending prior foundational results.
Findings
New characterizations of expansions in non-integer bases
Extended theorems of Rénýi, Parry, Daróczy, and Kátai
Broadened theoretical framework for non-integer base representations
Abstract
We generalize several theorems of R\'enyi, Parry, Dar\'oczy and K\'atai by characterizing the greedy and quasi-greedy expansions in non-integer bases.
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Taxonomy
Topicssemigroups and automata theory · Advanced Algebra and Logic · Computability, Logic, AI Algorithms