Work

Optimal expansions of Kakeya sequences

Year: 2024

Type: article

Abstract: We investigate optimal expansions of Kakeya sequences for the representation of real numbers. Expansions of Kakeya sequences generalize the expansions in non-integer bases and they display analogous redundancy phenomena. In this paper, we characterize optimal expansions of Kakeya sequences, and we provide conditions for the existence of unique expansions with respect to Kakeya sequences.

Source: Acta Mathematica Academiae Scientiarum Hungaricae

DOI: 10.1007/s10474-024-01453-8

Authors: A. C. Lai, P. Loreti

Institution: Sapienza University of Rome

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W4402722730