Generalized shift operator of certain encodings of real numbers
Symon Serbenyuk
TL;DR
This paper investigates properties of a generalized shift operator applied to real numbers represented in various numeral systems with variable alphabets, aiming to understand its mathematical behavior.
Contribution
It introduces and analyzes a generalized shift operator for real numbers in numeral systems with variable alphabets, expanding the understanding of such transformations.
Findings
Characterization of the operator properties
Conditions for operator stability
Potential applications in number representation
Abstract
The present article is devoted to the investigation of some properties of the generalized shift operator of numbers represented in terms of numeral systems with a variable alphabet.
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Taxonomy
TopicsMathematical Dynamics and Fractals · semigroups and automata theory · advanced mathematical theories