Work

Codings of B-Integers in Cantor Numeration Systems as Generators of Aperiodic Potentials

Year: 2026

Type: article

Abstract: Cantor real numeration systems provide a natural algebraic source of self-similar aperiodic structures, extending the classical β-integers framework introduced in quasicrystal modeling by Gazeau. We study how the choice of algebraic parameters of the base B=(βi)i∈Z influences the self-similarity and other combinatorial properties of the encoding symbolic sequence. These properties, namely repetitivity and palindromicity, are key features deciding the character of the spectrum of the underlying one-dimensional Schrödinger operator with aperiodic potential.

Source: Symmetry

DOI: 10.3390/sym18030538

Authors: Lubomíra Dvořáková, Zuzana Masáková, Edita Pelantová

Institution: Czech Technical University in Prague

Language: English

Topic: Quasicrystal Structures and Properties

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W7140126950

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